<?xml version="1.0" encoding="UTF-8"?>
<!-- generator="FeedCreator 1.8" -->
<?xml-stylesheet href="https://beta.mathcity.org/lib/exe/css.php?s=feed" type="text/css"?>
<rdf:RDF
    xmlns="http://purl.org/rss/1.0/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:slash="http://purl.org/rss/1.0/modules/slash/"
    xmlns:dc="http://purl.org/dc/elements/1.1/">
    <channel rdf:about="https://beta.mathcity.org/feed.php">
        <title>MathCity.org Beta</title>
        <description>This is beta site.</description>
        <link>https://beta.mathcity.org/</link>
        <image rdf:resource="https://beta.mathcity.org/_media/logo.png" />
       <dc:date>2026-06-07T11:47:55+00:00</dc:date>
        <items>
            <rdf:Seq>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch01?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_2?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch06?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2009?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2011?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2012?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_with_answers?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/fill_in_the_blanks_by_rauf_nabeel?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch09?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_01_complex_numbers?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch04?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_old_papers?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch07?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02/viewer?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_mcqs?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solution_area_of_oblique_triangle?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_trigonometric_review?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_formulas_introduction_to_analytics_geometry?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_old_papers?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_model_papers/pdfview?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/docview?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_with_key?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch01?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/docview?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch01/view?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_important_trigonometric_formulae?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_model_papers?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_important_formulas_derivatives?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_important_formulas_integration?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_mcqs?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_model_papers?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch02?rev=1737476035&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_model_papers/bise_marks_distribution?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch05?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_02_matrices_and_determinants?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_03_vectors?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_04_sequences?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_05_miscellaneous_series?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_06_permutation_combination_and_probability?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_07_mathematical_induction_and_binomial_theorem?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_08_functions_and_graphs?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_09_linear_programming?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_10_trigonometric_identities_of_sum_and_difference_of_angles?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_11_application_of_trigonometry?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_12_graph_of_trigonometric_and_inverse_trigonometric_functions_and_solutions_of_trigonometric_equations?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk-fsc-part1-km/view?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/kpk-fsc-part2-km/view?rev=1737476036&amp;do=diff"/>
                <rdf:li rdf:resource="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas/view?rev=1737476035&amp;do=diff"/>
            </rdf:Seq>
        </items>
    </channel>
    <image rdf:about="https://beta.mathcity.org/_media/logo.png">
        <title>MathCity.org Beta</title>
        <link>https://beta.mathcity.org/</link>
        <url>https://beta.mathcity.org/_media/logo.png</url>
    </image>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc Part 1 (KPK Boards)</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1?rev=1737476036&amp;do=diff</link>
        <description>FSc Part 1 (KPK Boards)

AVAILABLE HERE

[FSc Part 2 KPTP]
Notes of FSc Part 1 of “A Textbook of Mathematics For Class XI” published by Khyber Pakhtunkhwa Textbook Board, Peshawar. We are posting the notes chapter-wise. These notes are shared as open educational resources. This page will be continuously updated.$P(z)$$(\sum)$$\sum n$$\sum n^2$$\sum n^3$$n$$n$$$\frac{a}{a(a+d)}+\frac{a}{(a+d)(a+2d)}+...$$$^nP_r$$^nC_r=\left(\begin{smallmatrix}n\\ r\end{smallmatrix} \right)=\frac{n!}{r!(n-r)!}$$P(…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch01?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 01: Number System</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch01?rev=1737476035&amp;do=diff</link>
        <description>Chapter 01: Number System

[Chapter 01: Number System]
Notes (Solutions) of Chapter 01: Number System, Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary

	*  Rational numbers and irrational numbers$\mathbb{C}$$(x+iy)^n$$\left(\frac{x_1+iy_1}{x_2+iy_2}\right)^n, x_2+iy_2\neq 0$$\sqrt{-1}=i$$\sqrt{-1}$$i$$-i$$i$$-i$$-1$$i^2=-1$$\sqrt{-1}=i$$\sqrt{-1}$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_2?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc Part 2 (KPK Boards)</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_2?rev=1737476036&amp;do=diff</link>
        <description>FSc Part 2 (KPK Boards)

[A Textbook of Mathematics For Class XII]
Notes of FSc Part 2 of “A Textbook of Mathematics For Class XII” published by Khyber Pakhtunkhwa Textbook Board, Peshawar. We are posting the notes chapter-wise. These notes are shared as open educational resources. This page will be continuously updated.$y=x^n$$y=(ax+b)^n$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch06?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 06: Sequences and Series</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch06?rev=1737476035&amp;do=diff</link>
        <description>Chapter 06: Sequences and Series

[Chapter 06: Sequences and Series]
Notes (Solutions) of Chapter 06: Sequences and Series, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary

	*  Introduction
	*  Types of Sequences$l,m,n$$p$$q$$r$$$l(q-r)+m(r-p)+n(p-q)=0$$$a_1$$d$$$\begin{align}l=a_1+(p-1)d,\\ m=a_1+(q-1)d,\\ n=a_1+(r-1)d.\end{align}$$
Now $$\begin{align}L.H.S &amp;=  l(q-r)+m(r-p)+n(p-q)\\
&amp;= lq-lr+mr-mp+np-nq\\
&amp;=…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2009?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FBISE Annual 2009</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2009?rev=1737476035&amp;do=diff</link>
        <description>FBISE Annual 2009

	*  FSc part 1 (HSSC-I) mathematics paper conducted by Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been analyse on this web page with the help of chart. Three type of chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one contains pie chart which show the portion of questions from exercises to non-exercise question from book a &lt;div&gt;
&lt;center&gt;
&lt;/…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2011?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FBISE Annual 2011</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2011?rev=1737476035&amp;do=diff</link>
        <description>FBISE Annual 2011

	*  FSc part 1 (HSSC-I) mathematics paper conducted by Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been analyse on this web page with the help of chart. Three type of chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one contains pie chart which show the portion of questions from exercises to non-exercise question from book a &lt;div&gt;
&lt;center&gt;
&lt;/…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2012?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FBISE Annual 2012</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2012?rev=1737476035&amp;do=diff</link>
        <description>FBISE Annual 2012

	*  FSc part 1 (HSSC-I) mathematics paper conducted by Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been analyse on this web page with the help of chart. Three type of chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one contains pie chart which show the portion of questions from exercises to non-exercise question from book a &lt;div&gt;
&lt;center&gt;
&lt;/…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_with_answers?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs with Answers (FSc/ICS Part 1)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_with_answers?rev=1737476035&amp;do=diff</link>
        <description>MCQs with Answers (FSc/ICS Part 1)

[MCQs Choice]
In this one PDF, MCQs of all chapters of FSc/ICS Part1 are given. There are seven chapters. Answers of MCQs is starting from page 71.

SAMPLE MCQs




	*  $i^{13}=$.............
		*  (A) $i$
		*  (B) 1
		*  (C) -1
		*  (D) 2
$S$$1, \omega, \omega^2$$-1, \omega, \omega^2$$-1, -\omega, -\omega^2$$1, -1, 2$$ax^2+bx+c=0$$a=0, b\neq 0$$a\neq 0$$a=b=0$$b=$$ax^2+bx+c=0$$a=0, b\neq 0$$a\neq 0$$a=b=0$$b=$$n!=n(n-1)(n-2)...3\cdot 2\cdot 1$$n$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/fill_in_the_blanks_by_rauf_nabeel?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Fill in the blanks by Rauf &amp; Nabeel</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/fill_in_the_blanks_by_rauf_nabeel?rev=1737476035&amp;do=diff</link>
        <description>Fill in the blanks by Rauf &amp; Nabeel

	*  Fill in the blanks, provided by Adil Rauf &amp; Muhammad Nabil (F.Sc. Part I, Session: 2003-05, FAZMIC Sargodha)
	*  Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore)

&lt;div&gt;
&lt;center&gt;
&lt;/div&gt;
 Chapter 02   Download PDF (93KB)  &lt;div&gt;
&lt;/center&gt;
&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 02: Differentiation</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02?rev=1737476036&amp;do=diff</link>
        <description>Unit 02: Differentiation

[Unit 02: Differentiation]
Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$f&#039;(x)$$x^n$$n \in \mathbb{Z}$$\frac{x+1}{x-1}$$x$$$
\begin{aligned}
\frac{d}{dx}\left(\frac{x+1}{x-1}\right) &amp;= \frac{(x-1)\frac{d}{dx}(x…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch09?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 09: Fundamentals of Trigonometry</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch09?rev=1737476036&amp;do=diff</link>
        <description>Chapter 09: Fundamentals of Trigonometry

[Chapter 09: Fundamentals of Trigonometry]
Notes (Solutions) of Chapter 09: Fundamentals of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. This chapter has four exercise and solutions of those exercises are given below which can be downloaded in PDF format or can be viewed online.$D^\circ M&#039;S&#039;&#039;$$45^\circ , 30^\circ , 60^\circ$$0^\circ , 90^\circ , 180^\circ , 270^\circ , 36…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_01_complex_numbers?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 01: Complex Numbers</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_01_complex_numbers?rev=1737476036&amp;do=diff</link>
        <description>Chapter 01: Complex Numbers

Notes of Chapter 01: Complex Numbers of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.



[Download PDF ~ ch01-complex-numbers-fsc1-kpk.pdf]

fsc kpk_fsc_part1</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch04?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 04: Quadratic Equations</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch04?rev=1737476035&amp;do=diff</link>
        <description>Chapter 04: Quadratic Equations

[Chapter 04: Quadratic Equations]
Notes (Solutions) of Chapter 04: Quadratic Equations, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board, Lahore.

Contents &amp; summary

	*  Introduction
		*  Solutions of Quadratic Equations</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 04: Introduction to Analytic Geometry</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04?rev=1737476036&amp;do=diff</link>
        <description>Unit 04: Introduction to Analytic Geometry

[Unit 01: Functions and Limits]
Notes (Solutions) of Unit 04: Introduction to Analytic Geometry, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$ax^2+ 2hxy+by^2=0$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_old_papers?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Old Papers (FSc Part 1)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_old_papers?rev=1737476035&amp;do=diff</link>
        <description>Old Papers (FSc Part 1)

Federal Board of Intermediate &amp; Secondary Education, Islamabad

The special page has been created for Federal Board: 

	*  Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE

Board of Intermediate &amp; Secondary Education.

(All the boards have same paper pattern in Punjab excluding Federal Board)
These papers can be used as a model paper for other board (e.g. Multan Board, Faisalabad Board, Sargodha Board, Gujranwala Board, DG Khan Board, Rawalpindi Board etc)</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Short Questions by Mr. Akhtar Abbas</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas?rev=1737476035&amp;do=diff</link>
        <description>Short Questions by Mr. Akhtar Abbas

	*  We are very thankful to Mr. Akhtar Abbas for sharing these short questions.
	*  These short questions are selected from previous 5 years papers of different boards. Solve these at your own to perform well in annual exams.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 03: Integration</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03?rev=1737476036&amp;do=diff</link>
        <description>Unit 03: Integration

[Unit 03: Integration]
Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$dy$$\delta{y}$$[f(x)]^n f&#039;(x)$$[f(x)]^{-1}f&#039;(x)$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch07?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 07: Vectors</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch07?rev=1737476036&amp;do=diff</link>
        <description>Unit 07: Vectors

[Unit 07: Vectors]

Notes (Solutions) of Unit 07: Vectors, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.$u\cdot v$$u\times v$$u\cdot(v\times w)$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02/viewer?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>View Online (Solutions of Unit 02)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Unit 02)

On this page image view of the solutions of Unit 02: Differentiation has been given. List of all exercises has been given below this preview. 


Here is the list of all exercises of Unit 02

	*  Exercise 2.1
	*  Exercise 2.2
	*  Exercise 2.3
	*  Exercise 2.4
	*</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs/Objective: HSSC-I</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs?rev=1737476035&amp;do=diff</link>
        <description>MCQs/Objective: HSSC-I

&lt;well&gt;
Short Questions by Mr. Akhtar Abbas NEW 
Short Questions without answers by Mr. Akhtar Abbas for FSc Part 1.
&lt;/well&gt;&lt;well&gt;
MCQs-Short Questions by Mr Parvez Khan 
MCQs and Short Question by Mr. Parvez Khan composed by Momin Ali: Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore)
&lt;/well&gt;&lt;well&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solution_area_of_oblique_triangle?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Solution &amp; Area of Oblique Triangle</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solution_area_of_oblique_triangle?rev=1737476035&amp;do=diff</link>
        <description>Solution &amp; Area of Oblique Triangle

Here is the list of all the formulas used in Chapter 12 of FSc Part 1. If there is difficulty to remember these formulas then take a print of this page and see formula from this page while solving the question. After a while you will learn all formulas by heart. To download the PDF of this page see below.
&lt;PHP&gt;
$pre_file=$location/$$location/dn.php?file=$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc Part 1 Mathematics Notes/Solutions</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions?rev=1737476035&amp;do=diff</link>
        <description>FSc Part 1 Mathematics Notes/Solutions

[FSc Part1 PTB Book Cover]
&lt;lead&gt;Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore.&lt;/lead&gt; There are fourteen chapters in this book and we have work hard to make easy and suitable solution for students and teachers so that it help them learn things quickly and easily. Please click on a desire chapter to view the solution of any particular exercise. This work is licensed…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_trigonometric_review?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Trigonometric Review</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_trigonometric_review?rev=1737476036&amp;do=diff</link>
        <description>Trigonometric Review

Here the review of the formulas are given, which are used in Chapter 9 to 14 of Text Book of Algebra and Trigonometry Class XI, Punjab Text Book Board Lahore. This handout is very helpful to remember the formulas. All these formulas are given for real valued and defined trigonometric functions. A PDF file can be downloaded for high quality printing. We are very thankful to &lt;div&gt;
&lt;img src=&quot;../files/fsc/fsc_part1/fsc-trignometric-review.gif&quot; title=&quot;FSc Trigonometric Review&quot; a…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_formulas_introduction_to_analytics_geometry?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chap 04: Formulas Introduction to Analytics Geometry</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_formulas_introduction_to_analytics_geometry?rev=1737476036&amp;do=diff</link>
        <description>Chap 04: Formulas Introduction to Analytics Geometry

On these four pages, one can find all the formulas used in Chapter 04: Formulas Introduction to Analytics Geometry of FSc Part 2. There are five exercises in chapter 04 with lot of questions. These basic things help to solve the questions easily without going to the depth of each concept.&lt;div&gt;&lt;center&lt;/div&gt;&lt;div&gt;&lt;/center&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_old_papers?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Old Papers (FSc Part 2)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_old_papers?rev=1737476036&amp;do=diff</link>
        <description>Old Papers (FSc Part 2)

Federal Board of Intermediate &amp; Secondary Education, Islamabad

The special page has been created for Federal Board:

	*  Old Question Papers/Model Papers HSSC-II (FSc-II): FBISE

Board of Intermediate &amp; Secondary Education.

(All the boards have same paper pattern in Punjab excluding Federal Board)
These papers can be used as a model paper for other board (e.g. Multan Board, Faisalabad Board, Sargodha Board, Gujranwala Board, DG Khan Board, Rawalpindi Board etc)&lt;div&gt;
&lt;c…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc/ICS Part 2 Solutions</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions?rev=1737476036&amp;do=diff</link>
        <description>FSc/ICS Part 2 Solutions

[Calculus and Analytic Geometry, MATHEMATICS 12]

&lt;lead&gt;Notes (Solutions) of Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc/ICS Part 2 or HSSC-II), Punjab Text Book Board Lahore.&lt;/lead&gt; There are seven units in this book and we have work hard to make easy and suitable solutions for students and teachers so that it help them learn things quickly and easily. Please click on a desire unit to view the solution of any particular exercise. This work is licens…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc (Kyber Pakhtunkhwa (KPK) Boards)</title>
        <link>https://beta.mathcity.org/fsc/kpk?rev=1737476036&amp;do=diff</link>
        <description>FSc (Kyber Pakhtunkhwa (KPK) Boards)

Notes (resources) Textbook of Mathematics for Class XI“ and “Textbook of Mathematics Grade 12” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan are available on this page. At the moment we are going to publish notes of FSc Part 1 and Part 2.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs-Short Questions by Mr Parvez Khan</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476035&amp;do=diff</link>
        <description>MCQs-Short Questions by Mr Parvez Khan

	*  MCQs and Short Question written by Mr. Parvez Khan, composed by Mr. Momin Ali from Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore)
	*  &lt;wrap hi&gt;Key to the MCQs is given at page 57.&lt;/wrap&gt;&lt;div&gt;
&lt;div align=&quot;center&quot;&gt;
&lt;iframe src=&quot;http://docs.google.com/viewer?url=http%3A%2F%2Fwww.mathcity.org%2Ffiles%2Ffsc%2Ffsc_part1%2FMCQs-Short_Questions_Math_FSc_Part1.pdf&amp;embedded=true&quot; style=&#039;width: 100%; height: 550px; border: none;&#039;&gt;&lt;…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_model_papers/pdfview?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>DOC Viewer</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_model_papers/pdfview?rev=1737476035&amp;do=diff</link>
        <description>DOC Viewer

&lt;div&gt;
&lt;SCRIPT language=&quot;JavaScript&quot;&gt;
&lt;!--
var browserName=navigator.appName; 
 if (browserName==&quot;Microsoft Internet Explorer&quot;)
 {
  document.write(&quot;If you are viewing this page on Internet Explorer and does not see the images then follow the instructions given on &quot;);
    document.write(&quot;&lt;b&gt;&lt;a href=http://w3onlinesource.blogspot.com/2010/08/google-docs-viewer-embed-can-be-seen-in.html target=_blank&gt;this page&lt;/a&gt;&lt;/b&gt;.&quot;);
 }
 else
  {
    document.write(&quot;&quot;);
   }
//--&gt;
&lt;/SCRIPT&gt;
&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/docview?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>DOC Viewer: FSc Part 1 Solutions</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/docview?rev=1737476036&amp;do=diff</link>
        <description>DOC Viewer: FSc Part 1 Solutions

&lt;div&gt;
&lt;SCRIPT language=&quot;JavaScript&quot;&gt;
&lt;!--
var browserName=navigator.appName; 
 if (browserName==&quot;Microsoft Internet Explorer&quot;)
 {
  document.write(&quot;If you are viewing this page on Internet Explorer and does not see the images then follow the instructions given on &quot;);
    document.write(&quot;&lt;b&gt;&lt;a href=http://w3onlinesource.blogspot.com/2010/08/google-docs-viewer-embed-can-be-seen-in.html target=_blank&gt;this page&lt;/a&gt;&lt;/b&gt;.&quot;);
 }
 else
  {
    document.write(&quot;&quot;);
   }
/…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_with_key?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs with key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_with_key?rev=1737476036&amp;do=diff</link>
        <description>MCQs with key

[MCQs Choice]
In this one PDF, MCQs of all chapters of FSc Part2 are given. There are seven chapters. Keys of MCQs is starting from page 51.

SAMPLE MCQs

	*  A function $I(x)=x$ is called
		*  (A) A linear function
		*  (B) An identity function
		*  (C) A quadratic function$\frac{d}{dx} \tan 3x =$$3\sec^2 3x$$\frac{1}{3}\sec^2 3x$$\cot 3x$$\sec^2 x$$y=f(x)$$y$$dy=f&#039;(x)$$dy=f&#039;(x) dx$$dy=f(x)$$\frac{dy}{dx}$$x&lt;0$$y&lt;0$$P(x,y)$$ax+by&lt;c$$1$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch01?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 01: Functions and Limits</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch01?rev=1737476036&amp;do=diff</link>
        <description>Unit 01: Functions and Limits

[Unit 01: Functions and Limits]
Notes (Solutions) of Unit 01: Functions and Limits, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are five exercises in this chapter. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from $\lim_{x\to a}\frac{x^n-a^n}{x-a} = na^{n-1}$$\lim_{x\to0}\frac{\sqrt{x+a} - \sqrt{a}}{x} = \frac{…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/docview?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>DOC Viewer</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/docview?rev=1737476036&amp;do=diff</link>
        <description>DOC Viewer

&lt;div&gt;
&lt;SCRIPT language=&quot;JavaScript&quot;&gt;
&lt;!--
var browserName=navigator.appName; 
 if (browserName==&quot;Microsoft Internet Explorer&quot;)
 {
  document.write(&quot;If you are viewing this page on Internet Explorer and does not see the images then follow the instructions given on &quot;);
    document.write(&quot;&lt;b&gt;&lt;a href=http://w3onlinesource.blogspot.com/2010/08/google-docs-viewer-embed-can-be-seen-in.html target=_blank&gt;this page&lt;/a&gt;&lt;/b&gt;.&quot;);
 }
 else
  {
    document.write(&quot;&quot;);
   }
//--&gt;
&lt;/SCRIPT&gt;
&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch01/view?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 01: Number System: Mathematics FSc Part 1</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch01/view?rev=1737476035&amp;do=diff</link>
        <description>Ch 01: Number System: Mathematics FSc Part 1

Notes (Solutions) of Chapter 01: Number System, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question at</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_important_trigonometric_formulae?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Important Trigonometric Formulae</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_important_trigonometric_formulae?rev=1737476035&amp;do=diff</link>
        <description>Important Trigonometric Formulae

These two pages contains all the important trigonometric formulae used in Chapter 09 to Chapter 14. These notes are provide by Ali Nawaz Bajwa  (MS(Math), M.Ed.). It is necessary for student to remembers these values by heart.&lt;div&gt;&lt;center&lt;/div&gt;&lt;div&gt;&lt;/center&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_model_papers?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc Part 1 Model Papers</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_model_papers?rev=1737476035&amp;do=diff</link>
        <description>FSc Part 1 Model Papers

Federal Board of Intermediate &amp; Secondary Education, Islamabad

&lt;div&gt;
&lt;center&gt;
&lt;/div&gt;
 ARW Model Paper 2008   View Online  Download PDF (69KB)   ARW Official Model Paper (with solution)   View Online Download PDF (154KB)   ARW Model Paper 1 (Old)   View Online Download PDF (103KB)   ARW Model Paper 2 (Old)   View Online Download PDF (96KB)  &lt;div&gt;
&lt;/center&gt;
&lt;/div&gt;&lt;div&gt;
&lt;center&gt;
&lt;/div&gt;&lt;div&gt;
&lt;/center&gt;
&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_important_formulas_derivatives?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Important Formulas Derivatives</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_important_formulas_derivatives?rev=1737476036&amp;do=diff</link>
        <description>Important Formulas Derivatives

This page contains all the important derivatives used in chapter 2 and 3 of FSc Part 2. This page is send by Ali Nawaz Bajwa  (MS(Math), M.Ed.). It is very helpful to remember thes formulas.

[Important Formulas Derivative ]

&lt;div&gt;&lt;center&lt;/div&gt;
[Download PDF]
&lt;div&gt;&lt;/center&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_important_formulas_integration?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Important Formulas Integration</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_important_formulas_integration?rev=1737476036&amp;do=diff</link>
        <description>Important Formulas Integration

This page contains all the important integration used in chapter 3 of FSc Part 2. This page is send by Ali Nawaz Bajwa  (MS(Math), M.Ed.). This page helps to remember important formulas of integration.

[Important Formulas Integration ]

&lt;div&gt;&lt;center&lt;/div&gt;
[Download PDF]
&lt;div&gt;&lt;/center&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs/Objective: HSSC-II</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs?rev=1737476036&amp;do=diff</link>
        <description>MCQs/Objective: HSSC-II

On this page, MCQ/Objective for FSc-II (HSSC-II) or FSc Part 2 are given.
&lt;div&gt;
&lt;img src=http://mathcity.org/images/mcq2.jpg class=&quot;mediacenter&quot; /&gt;
&lt;/div&gt;



&lt;WRAP center round box 80%&gt;

	*  Short Questions by Mr. Akhtar Abbas NEW
		*  Short Questions without answers by Mr. Akhtar Abbas for FSc Part 2.


&lt;/WRAP&gt;

&lt;WRAP center round box 80%&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_model_papers?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc Part 2 Model Papers</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_model_papers?rev=1737476036&amp;do=diff</link>
        <description>FSc Part 2 Model Papers

Federal Board of Intermediate &amp; Secondary Education, Islamabad

&lt;div&gt;
&lt;center&gt;
&lt;/div&gt;
 ARW 1st Model Paper 2009   View Online  Download PDF (84KB)   ARW Official Model Paper (with solution)   Download PDF (233KB)  
&lt;div&gt;
&lt;/center&gt;
&lt;/div&gt;

Board of Intermediate &amp; Secondary Education.

All the boards in Punjab expect Federal Board have the same paper pattern.&lt;div&gt;
&lt;center&gt;
&lt;/div&gt;&lt;div&gt;
&lt;/center&gt;
&lt;/div&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch02?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 02: Sets, Functions and Groups</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch02?rev=1737476035&amp;do=diff</link>
        <description>Chapter 02: Sets, Functions and Groups

Notes (Solutions) of Chapter 02: Sets, Functions and Groups, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

[Chapter 02: Sets, Functions and Groups]

Contents &amp; summary

	*  Introduction$p\leftrightarrow q$</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 12: Application of Trigonometry</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12?rev=1737476036&amp;do=diff</link>
        <description>Chapter 12: Application of Trigonometry

[Chapter 12: Application of Trigonometry]
Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary

	*  Introduction</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs-Short Questions by Mr. Parvez Khan</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs-short_questions_by_mr._parvez_khan?rev=1737476036&amp;do=diff</link>
        <description>MCQs-Short Questions by Mr. Parvez Khan

	*  MCQs and Short Question by Mr. Parvez Khan composed by Momin Ali: Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore). &lt;wrap hi&gt;Answers are given at page 32.&lt;/wrap&gt;

&lt;div&gt;
&lt;div align=&quot;center&quot;&gt;

&lt;iframe src=&quot;http://docs.google.com/viewer?url=http%3A%2F%2Fwww.mathcity.org%2Ffiles%2Ffsc%2Ffsc_part2%2FMCQs-Short_Questions_Math_FSc_Part2.pdf&amp;embedded=true&quot; width=&quot;700&quot; height=&quot;910&quot; style=&quot;border: none;&quot;&gt;&lt;/iframe&gt;

&lt;p&gt;&lt;a href=&quot;http…</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_model_papers/bise_marks_distribution?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Assessment Scheme</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_model_papers/bise_marks_distribution?rev=1737476036&amp;do=diff</link>
        <description>Assessment Scheme

Chapter wise marks distribution is given below. 

Mathematics Class 12

Time: 3 Hours

Marks: 100
 Ch #  Chapter name   Weightage %   Distribution of marks   1   Functions and limits    7%    11   2   Differentiation    21%    30</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch05?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 05: Linear Inequalities and Linear Programming</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch05?rev=1737476036&amp;do=diff</link>
        <description>Unit 05: Linear Inequalities and Linear Programming

[Unit 05: Linear Inequalities and Linear Programming]
Notes (Solutions) of Unit 05: Linear Inequalities and Linear Programming, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 06: Conic Section</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06?rev=1737476036&amp;do=diff</link>
        <description>Unit 06: Conic Section

[Unit 06: Conic Section]

Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_02_matrices_and_determinants?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 02: Matrices and Determinants</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_02_matrices_and_determinants?rev=1737476036&amp;do=diff</link>
        <description>Chapter 02: Matrices and Determinants

Notes of Chapter 02: Matrices and Determinants of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_03_vectors?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 03: Vectors</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_03_vectors?rev=1737476036&amp;do=diff</link>
        <description>Chapter 03: Vectors

Notes of Chapter 03: Vectors of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.



[Download PDF ~ ch03-vectors-fsc1-kpk.pdf]

fsc kpk_fsc_part1</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_04_sequences?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 04: Sequences</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_04_sequences?rev=1737476036&amp;do=diff</link>
        <description>Chapter 04: Sequences

Notes of Chapter 04: Sequences of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.



[Download PDF ~ ch04-sequences-fsc1-kpk.pdf]

fsc kpk_fsc_part1</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_05_miscellaneous_series?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 05: Miscellaneous Series</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_05_miscellaneous_series?rev=1737476036&amp;do=diff</link>
        <description>Chapter 05: Miscellaneous Series

Notes of Chapter 05: Miscellaneous Series of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.



[Download PDF ~ ch05-miscellaneous-series-fsc1-kpk.pdf]

fsc kpk_fsc_part1</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_06_permutation_combination_and_probability?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 06: Permutation, Combination and Probability</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_06_permutation_combination_and_probability?rev=1737476036&amp;do=diff</link>
        <description>Chapter 06: Permutation, Combination and Probability

Notes of Chapter 06: Permutation, Combination and Probability of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_07_mathematical_induction_and_binomial_theorem?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 07: Mathematical Induction and Binomial Theorem</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_07_mathematical_induction_and_binomial_theorem?rev=1737476036&amp;do=diff</link>
        <description>Chapter 07: Mathematical Induction and Binomial Theorem

Notes of Chapter 07: Mathematical Induction and Binomial Theorem of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_08_functions_and_graphs?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 08: Function and Graphs</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_08_functions_and_graphs?rev=1737476036&amp;do=diff</link>
        <description>Chapter 08: Function and Graphs

Notes of Chapter 08: Function and Graphs of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.



[Download PDF ~ ch08-functions-and-graphs-fsc1-kpk.pdf]

fsc kpk_fsc_part1</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_09_linear_programming?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 09: Linear Programming</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_09_linear_programming?rev=1737476036&amp;do=diff</link>
        <description>Chapter 09: Linear Programming

Notes of Chapter 09: Linear Programming of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.



[Download PDF ~ ch09-linear-programming-fsc1-kpk.pdf]

fsc kpk_fsc_part1</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_10_trigonometric_identities_of_sum_and_difference_of_angles?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 10: Trigonometric Identities of Sum and Difference of Angles</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_10_trigonometric_identities_of_sum_and_difference_of_angles?rev=1737476036&amp;do=diff</link>
        <description>Chapter 10: Trigonometric Identities of Sum and Difference of Angles

Notes of Chapter 10: Trigonometric Identities of Sum and Difference of Angles of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_11_application_of_trigonometry?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 11: Application of Trigonometry</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_11_application_of_trigonometry?rev=1737476036&amp;do=diff</link>
        <description>Chapter 11: Application of Trigonometry

Notes of Chapter 11: Application of Trigonometry of “A Textbook of Mathematics for Class XI” published by Khyber Pakhtunkhwa (KPK) Textbook Board, Pesharwar. These notes are shared as open educational resources.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_12_graph_of_trigonometric_and_inverse_trigonometric_functions_and_solutions_of_trigonometric_equations?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations</title>
        <link>https://beta.mathcity.org/fsc/kpk_fsc_part_1/chapter_12_graph_of_trigonometric_and_inverse_trigonometric_functions_and_solutions_of_trigonometric_equations?rev=1737476036&amp;do=diff</link>
        <description>Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations

Notes of Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations of “A Textbook of Mathematics for Class XI</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk-fsc-part1-km/view?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc-I Mathematics KPK: View Online</title>
        <link>https://beta.mathcity.org/fsc/kpk-fsc-part1-km/view?rev=1737476036&amp;do=diff</link>
        <description>FSc-I Mathematics KPK: View Online

AVAILABLE HERE

On this page one can view the PDF of solutions of the A Textbook of Mathematics For Class XI” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. These notes are written by khalid. Link to PDF is given at the end of preview.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/kpk-fsc-part2-km/view?rev=1737476036&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>FSc-II Mathematics KPK: View Online</title>
        <link>https://beta.mathcity.org/fsc/kpk-fsc-part2-km/view?rev=1737476036&amp;do=diff</link>
        <description>FSc-II Mathematics KPK: View Online

On this page one can view the PDF of solutions of the “Textbook of Mathematics Grade 12” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. These notes are written by khalid. Link to PDF is given at the end of preview.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas/view?rev=1737476035&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>View</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas/view?rev=1737476035&amp;do=diff</link>
        <description>View

	*  We are very thankful to Mr. Akhtar Abbas for sharing these short questions. These short questions are selected from previous five years papers of different boards. Solve these at your own to perform well in annual examination. Recommended book for these short questions is “Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore)”. But any student Mathematics can get benefit from it.</description>
    </item>
</rdf:RDF>
