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        <title>Chapter 12: Application of Trigonometry</title>
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        <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>
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        <title>Ch 12: Application of Trigonometry: Mathematics FSc Part 1</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12/view?rev=1737476036&amp;do=diff</link>
        <description>Ch 12: Application of Trigonometry: Mathematics FSc Part 1

Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at</description>
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        <title>View Online (Solutions of Chapter 12)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch12/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Chapter 12)

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. There are eight exercises in this chapter.</description>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Key to MCQs by Muhammad Imran Qureshi</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi/key?rev=1737476035&amp;do=diff</link>
        <description>Key to MCQs by Muhammad Imran Qureshi

This page include the key to MCQs by Muhammad Imran Qureshi.

Unit 02: Key
 1- C  2- A  3- B  4- C  5- C  6- D  7- A  8- B  9- C  10-D  11-A  12-B  13-D  14-A  15-C  16-A  17-C  18-C  19-B  20-C  21-C  22-A  23-C  24-A  25-C  26-C  27-C  28-C</description>
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        <title>MCQs by Nauman Idrees</title>
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        <description>MCQs by Nauman Idrees

&lt;div&gt;
&lt;img src=http://mathcity.org/images/mcqs.jpg class=&quot;mediacenter&quot; /&gt;
&lt;/div&gt;

	*  Text Book of Algebra and Trigonometry, Class XI (Punjab Textbook Board, Lahore).

Chapter 01

View Online  | Download PDF (52KB)  | Ch 01: Key

Chapter 02

View Online  | Download PDF (68KB)  | Ch 02: Key

Chapter 03

View Online  | Download PDF (41KB)  | Ch 03: Key

Chapter 04

View Online  | Download PDF (43KB)  | Ch 04: Key

Chapter 05

View Online  | Download PDF (39KB)  |</description>
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        <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;
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&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>
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        <title>MCQs by Muhammad Imran Qureshi</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi?rev=1737476035&amp;do=diff</link>
        <description>MCQs by Muhammad Imran Qureshi

MCQs of the Textbook of Algebra and Trigonometry Class XI is published by Punjab Textbook Board (PTB) Lahore, Pakistan. 

To see the keys of the MCQs, please see Key to MCQs by Muhammad Imran Qureshi.

	*  Chapter 01 | View Online  | Download PDF (166KB)

	*  Chapter 02 | View Online  | Download PDF (77KB)</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 12: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_12_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 12: Key

This page include the key to MCQs by Nauman Idrees of Chapter 12.
&lt;center&gt;
 1- B  2- B  3- A  4- B  5- B  6- A  7- A  8- B  9- A  10- E  11- C  12- B  13- ?  14- ?  15- C  16- B  17- A  18- A  19- A  20- B  21- C  22- E  23- C  24- B  25- B  26- C  27- E  28- A  29- A &lt;/center&gt;</description>
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        <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>
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        <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>
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        <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)

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 Chapter 02   Download PDF (93KB)  &lt;div&gt;
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        <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>
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        <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>
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        <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>
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        <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>
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        <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>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Online View</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi/online_view?rev=1737476035&amp;do=diff</link>
        <description>Online View



List of all chapters

	*  Key to MCQs by Muhammad Imran Qureshi

	*  Chapter 01 

	*  Chapter 02

	*  Chapter 03

	*  Chapter 04

	*  Chapter 05

	*  Chapter 06

	*  Chapter 07

	*  Chapter 08

	*  Chapter 09

	*  Chapter 10

	*  Chapter 11

	*  Chapter 12

	*  Chapter 13

	*  Chapter 14</description>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 02: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_02_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 02: Key

This page include the key to MCQs by Nauman Idrees of Chapter 02.
&lt;center&gt;
 1- D  2- A  3- B  4- B  5-A  6-  C  7- A  8- B  9- D  10- A  11- B  12- D  13- A  14- B  15- D  16- A  17- D  18- D  19- A  20- A  21- B  22- C  23- B  24- A  25- D  26- B  27- D  28- C  29- A &lt;/center&gt;&lt;center&gt;&lt;/center&gt;</description>
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        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 03: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_03_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 03: Key

This page include the key to MCQs by Nauman Idrees of Unit 03.
&lt;center&gt;
 1- C  2- D  3- C  4- B  5- C  6- C  7- D  8- B  9- C  10- D  11-D  12-D  13-C  14-ERROR  15-D  16-C  17-A  18-D  19-B  20-D  21-B  22-D  23-C  24-C  25-C  26-A  27-D 
INTEGRATION BY SUBTITUTION&lt;/center&gt;</description>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 06: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_06_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 06: Key

This page include the key to MCQs by Nauman Idrees of Unit 06.
&lt;center&gt;
  1- A   2- C   3- D  4- C   5- D    6- C  O7- C   8- C  9- B   10- C  11- D  12- B  13- B  14- C  15- C  16- B  17- D  18- C  19- A  20- B  21- B  22- A  23- B  24- A  25- D  26- C  27- B  28- B &lt;/center&gt;</description>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 07: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_07_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 07: Key

This page include the key to MCQs by Nauman Idrees of Chapter 07.
&lt;center&gt;
 1- C  2- B  3- C  4- B   5- B  6- C  7- C  8- C  9- B  10- A 11- D  12-C  13- D 14-C  15- D 
PRODUCT OF VECTOR

  1- D   2- D   3- A   4- C   5- C   6- D   7- A   8- D   9- B  10- C  11- ERROR &lt;/center&gt;</description>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Unit 02: Differentiation: Mathematics FSc part 2</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch02/view?rev=1737476036&amp;do=diff</link>
        <description>Unit 02: Differentiation: Mathematics FSc part 2

Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are ten exercises in this chapter. Please see the main page of this chapter for MCQs and important question</description>
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        <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: Mathematics FSc part 2</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04/view?rev=1737476036&amp;do=diff</link>
        <description>Unit 04: Introduction to Analytic Geometry: Mathematics FSc part 2

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. There are five exercises in this chapter. Please see the main page of this chapter for MCQs and important question</description>
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        <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>
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        <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>
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        <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>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 11: Trigonometric Functions and their Graphs</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch11?rev=1737476036&amp;do=diff</link>
        <description>Chapter 11: Trigonometric Functions and their Graphs

[Chapter 11: Trigonometric Functions and their Graphs]
Notes (Solutions) of Chapter 11: Trigonometric Functions and their Graphs, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary
$ y = \sin x$$-2\pi \hbox{ to } 2\pi$$ y = \cos x$$-2\pi \hbox{ to } 2\pi$$ y = \tan x$$-\pi \hbox{ to } \pi$$ y = \cot x$$-2\pi \hbox{ to } \pi$$ y = \sec x$$-2\pi \hbox{ to } 2\pi…</description>
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        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Chapter 13: Inverse Trigonometric Functions</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch13?rev=1737476036&amp;do=diff</link>
        <description>Chapter 13: Inverse Trigonometric Functions

[Chapter 13: Inverse Trigonometric Functions]
Notes (Solutions) of Chapter 13: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary

	* ${\sin ^{ - 1}}A + {\sin ^{ - 1}}B = {\sin ^{ - 1}}\left( {A\sqrt {1 - {B^2}}  + B\sqrt {1 - {A^2}} } \right)$${\sin ^{ - 1}}A - {\sin ^{ - 1}}B = {\sin ^{ - 1}}\left( {A\sqrt {1 - {B^2}}  - B\sqrt {1 - {…</description>
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        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs by Muhammad Imran Qureshi</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi?rev=1737476036&amp;do=diff</link>
        <description>MCQs by Muhammad Imran Qureshi

	*  Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore)
 Unit 01  View Online   Download PDF (78KB)  Unit 01: Key  Unit 02 View Online   Download PDF (71KB)  Unit 02: Key  Unit 03  View Online   Download PDF (67KB)  Unit 03: Key  Unit 04  View Online   Download PDF (50KB)  Unit 04: Key  Unit 05  View Online   Download PDF (49KB)  Unit 05: Key  Unit 06  View Online   Download PDF (58KB)</description>
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        <dc:date>2025-01-21T16:13:56+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>MCQs by Nauman Idrees</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees?rev=1737476036&amp;do=diff</link>
        <description>MCQs by Nauman Idrees

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&lt;img src=http://www.mathcity.org/images/mcqs.jpg class=&quot;mediacenter&quot; /&gt;
&lt;/div&gt;

	*  Calculus and Analytic Geometry, MATHEMATICS 12 (Punjab Textbook Board, Lahore)

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&lt;/div&gt;
 ARW Unit 01  View Online   Download PDF (48KB)   Unit 01: Key   ARW Unit 02  View Online   Download PDF (62KB)  Unit 02: Key   ARW Unit 03  View Online   Download PDF (72KB)  Unit 03: Key   ARW Unit 04  View Online   Download PDF (48KB)  Unit 04: Key   ARW Unit 05  View Online   Down…</description>
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        <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;
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&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>
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        <dc:date>2025-01-21T16:13:56+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_2_mcqs/short_questions_by_mr._akhtar_abbas?rev=1737476036&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.$\sqrt{x^2-4}$$f(x)=\frac{2x}{x-2}$$x=2$$x^{100}$</description>
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        <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>
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        <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>
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        <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>
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        <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>
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    <item rdf:about="https://beta.mathcity.org/fsc/kpk-fsc-part1-km/view?rev=1737476036&amp;do=diff">
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        <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>
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    <item rdf:about="https://beta.mathcity.org/fsc/kpk-fsc-part2-km/view?rev=1737476036&amp;do=diff">
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        <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>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_01_key?rev=1737476035&amp;do=diff">
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 01: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_01_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 01: Key

This page include the key to MCQs by Nauman Idrees of Chapter 01.
 1- A  2- A   3- A  4- B   5- C   6- D  6- A   7- D  8- A  9- D  10- C  11- B  12- B  13- C  14- A  15- B  16- A  17- A  18- A  19- A  20- B  21- C   22- D  23- B  24- C  25- A  26- B  27- C  28- B</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 03: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_03_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 03: Key

This page include the key to MCQs by Nauman Idrees of Chapter 03.
&lt;center&gt;
 1- B  2- A  3- C  4- A  5- C  6- C  7- D  8- B  9- B  10-C  11-C  12-C  13-B  14-C  15-A  16-A  17-D 
&lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_04_key?rev=1737476035&amp;do=diff">
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 04: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_04_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 04: Key

This page include the key to MCQs by Nauman Idrees of Chapter 04.
&lt;center&gt;
 1 -A  2 -B  3 -A  4 -C  5-C  6 -C  7 -C  8 -D  9 -D  10-A  11-C  12-A  13-A  14-A  15-D  16-D  17-B  18-B  19-D  20-A  21-D  22-C  23-B  24-B  25-A  26-C  27-C  28-B  29-D  30-D 
&lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_05_key?rev=1737476035&amp;do=diff">
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 05: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_05_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 05: Key

This page include the key to MCQs by Nauman Idrees of Chapter 01.
&lt;center&gt;
 1- A  2- C  3- A  4- B  5- B  6- B  7- C  8- D  9- A  10-C  11-D  12-D 
&lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_06_key?rev=1737476035&amp;do=diff">
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 06: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_06_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 06: Key

This page include the key to MCQs by Nauman Idrees of Chapter 06.
&lt;center&gt;
 1- A  2- C  3- C  4- C  5- C  6- D  7- A  8- A  9- A  10- C  11- A  12- A  13- A  14- C  15- C  16- C  17- B  18- C  19- NO OPTION  20- A  21- B  22- B  23- A  24- A  25- ERROR  26- D  27- C &lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_07_key?rev=1737476035&amp;do=diff">
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 07: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_07_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 07: Key

This page include the key to MCQs by Nauman Idrees of Chapter 07.
&lt;center&gt;
 1- B  2- B  3- B  4- C  5- C  6- A  7- D  8- A  9- D  10- A  11- D  12- A  13- A  14- D  15- C  16- A  17- D  18- B  19- B  20- B  21- C  22- B  23- B  24- C  25- A  26- B 
&lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_08_key?rev=1737476035&amp;do=diff">
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 08: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_08_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 08: Key

This page include the key to MCQs by Nauman Idrees of Chapter 08.
&lt;center&gt;
 1- B  2- A  3- B  4- D  5- D  6- A  7- D  8- D  9- A  10- A  11- D  12- A  13- A  14- A  15- A  16- B  17- B  18- A  19- C 
&lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_09_key?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 09: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_09_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 09: Key

This page include the key to MCQs by Nauman Idrees of Chapter 09.
&lt;center&gt;
 1- B  2- B  3- A  4- D  5- A  6- D  7- B  8- A  9- A  10- A  11- C  12- E  13- A  14- A  15- C  16- E  17- C  18- C  19- B  20- E  21- A  22- D  23- A  24- D  25- C  26- A  27- B  28- B  29- A $\pi/6$&lt;/center&gt;</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 10: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_10_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 10: Key

This page include the key to MCQs by Nauman Idrees of Chapter 10.
&lt;center&gt;
 1- B  2- B  3- B  4- B  5- A  6- C  7- D  8- E  9- B  10- D  11- A  12- C  13- D  14- B  15- E  16- A  17- B  18- D  19- D  20- A  21- A  22- C  23- B  24- E  25- B  26- B  27- A  28- E  29- B &lt;/center&gt;</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>Ch 11: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_11_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 11: Key

This page include the key to MCQs by Nauman Idrees of Chapter 11.
&lt;center&gt;
 1- B  2- A  3- B  4- A  5- C  6- D  7- C  8- D  9- A  10- A  11- B  12- B  13- E  14- E  15- B  16- A  17- E  18- E  19- D  20- D  21- E  22- E  23- D  24- D  25- B  26- B  27- D  28- D  29- C &lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_13_key?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 13: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_13_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 13: Key

This page include the key to MCQs by Nauman Idrees of Chapter 13.
&lt;center&gt;
 1- A  2- E  3- ?  4- A  5- D  6- E  7- C  8- E  9- D  10- A  11- B  12- E  13- ?   14- C  15- B  16- B  17- A  18- ?  19- B  20- B  21- E  22- E  23- D  24- D  25- D  26- E  27- D  28- B  29- ? &lt;/center&gt;</description>
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        <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 14: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_14_key?rev=1737476035&amp;do=diff</link>
        <description>Ch 14: Key

This page include the key to MCQs by Nauman Idrees of Chapter 14.
&lt;center&gt;
 1- C  2- A  3- C  4- B  5- E  6- B  7- D  8- B  9- A  10- C  11- A  12- C  13- B  14- A  15- C  16- C  17- C  18- A  19- C  20- C  21- D  22- C  23- B  24- D  25- B 
&lt;/center&gt;</description>
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    <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>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch08/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 Chapter 08)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch08/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Chapter 08)



Here is the list of all exercises of Chapter 08

	*  Exercise 8.1
	*  Exercise 8.2 
	*  Exercise 8.3</description>
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        <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 Chapter 11)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch11/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Chapter 11)

Notes (Solutions) of Chapter 11: Trigonometric Functions and their Graphs, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are two exercise in this chapter.</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch13/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>Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch13/view?rev=1737476036&amp;do=diff</link>
        <description>Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1

Notes (Solutions) of Chapter 10: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are two exercises in this chapter. Please see the main page of this chapter for MCQs and important question at</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_01_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>Unit 01: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_01_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 01: Key

This page include the key to MCQs by Muhammad Imran Qureshi of Unit 01.
&lt;center&gt;
 1- B  2- A  3- B  4- C  5- A  6- A  7- D  8- A  9- C  10-A  11-A  12-B  13-D  14-B  15-C  16-D  17-D  18-C  19-D  20-D  21-A  22-D  23-C  24-B  25-D  26-A  27-B  28-B  29-C  30-A  31-A  32-B  33-B &lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_02_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>Unit 02: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_02_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 02: Key

This page include the key to MCQs by Muhammad Imran Qureshi of Unit 02.
&lt;center&gt;
 1- B  2- C  3- C  4- A  5- C  6- C  7- A  8- C  9- D  10-C  11-B  12-B  13-A  14-B  15-C  16-B  17-B  18-A  19-C  20-D  21-B  22-A  23-C  24-D  25-A  26-D  27-A  28-B  29-D  30-C  31-D  32-A  33-B &lt;/center&gt;</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_03_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>Unit 03: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_03_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 03: Key

This page include the key to MCQs by Muhammad Imran Qureshi of Unit 03.
&lt;center&gt;
 1- B  2- A  3- B  4- C  5- A  6- A  7- D  8- A  9- C  10-A  11-A  12-B  13-D  14-B  15-C  16-D  17-D  18-C  19-D  20-D  21-A  22-D  23-C  24-B  25-D  26-A  27-B  28-B  29-C  30-A  31-A  32-B  33-B &lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_04_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>Unit 04: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_04_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 04: Key

This page include the key to MCQs by Muhammad Imran Qureshi of Unit 04.
&lt;center&gt;
 1- B  2- C  3- D  4- A  5- C  6- A  7- C  8- A  9- B  10-B  11-A  12-A  13-A  14-C  15-B  16-B  17-A  18-A  19-A  20-B  21-B  22-C  23-B  24-C  25-A  26-A  27-A  28-C  29-A  30-A  31-B  32-A  33-B &lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_05_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>Unit 05: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_05_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 05: Key

This page include the key to MCQs by Muhammad Imran Qureshi of Unit 05.
&lt;center&gt;
 1- A  2- B  3- D  4- A  5- B  6- B  7- A  8- B  9- A  10-c  11-A  12-A  13-D  14-C  15-A  16-C  17-B  18-A  19-C  20-A  21-C  22-D  23-A  24-D  25-B  26-A  27-B  28-B  29-C  30-B 
&lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_06_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>Unit 06: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_06_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 06: Key

This page include the key to MCQs by Muhammad Imran Qureshi of Unit 06.
&lt;center&gt;
 1- C  2- A  3- A  4- A  5- D  6- A  7- B  8- D  9- B  10-B  11-A  12-A  13-B  14-A  15-C  16-A  17-B  18-B  19-B  20-C  21-A  22-D  23-C  24-A  25-C  26-A  27-D  28-C  29-A  30-B  31-B  32-B  33-B &lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_07_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>Unit 07: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_07_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 07: Key

This page includes the key to MCQs by Muhammad Imran Qureshi of Unit 06.
&lt;center&gt;
 1- A  2- B  3- A  4- B  5- D  6- C  7- D  8- B  9- B  10-A  11-C  12-D  13-A  14-C  15-B  16-B  17-A  18-C  19-A  20-B  21-B  22-B  23-A  24-D  25-C  26-B  27-B  28-A  29-B  30-B  31-A  32-B &lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_01_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>Unit 01: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_01_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 01: Key

This page include the key to MCQs by Nauman Idrees of Unit 01.
&lt;center&gt;
 1- D  2- C  3- D  4- A  5- B  6- A  7- D  8- B  9- B  10- B  11-C  12-A  13-B  14-C  15- A  16-B  17-C  18-C  19-MISSING  20- B  21-D  22-B  23-C  24-C  25-D  26-A  27-C  28-B  29-B  30-D 
&lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_02_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>Unit 02: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_02_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 02: Key

This page include the key to MCQs by Nauman Idrees of Unit 02.
&lt;center&gt;
 1- C  2- B  3- C  4- D  5- A  6- B  7- B  8- C  9- A  10- D 11-A  12-C  13-B  14-D  15-C  16-C  17-A  18-C  19-C  20-B  21-B  22-B  23-D  24-A  25-C  26-D  27-A  28-A  29-C  30-D  31-D  32-A  33-C &lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_04_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>Unit 04: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_04_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 04: Key

This page include the key to MCQs by Nauman Idrees of Unit 04.
&lt;center&gt;
 1- B  2- D  3- B  4- A  5 - B  6- D  7- A  8- B  9- D  10- D  11-D  12-D  13-A  14-B  15- C  16-B  17-B  18-B  19-D  20-B   21-C  22-B  23-C  24-C  25-D   26-A  27-B  28-B  29-B  30- C 
&lt;/center&gt;</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_05_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>Unit 05: Key</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_05_key?rev=1737476036&amp;do=diff</link>
        <description>Unit 05: Key

This page include the key to MCQs by Nauman Idrees of Unit 05.
&lt;center&gt;
 1-C  2-B  3-A  4-MISSING  5-C  6-A  7-B  8-A  9-C  10C  11-C 12-B 13-A 14-D  15-B  16-B 17-A 18-D 19-A  20-C  21-C 22-B 23-A 24-D  25-D  26-A27-B 28-D  29-D  30-D  31-B  32-A  33-B  34-B  35-D &lt;/center&gt;</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_2_solutions/ch03/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>Unit 03: Differentiation: Mathematics FSc part 2</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03/view?rev=1737476036&amp;do=diff</link>
        <description>Unit 03: Differentiation: Mathematics FSc part 2

Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03/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 03)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch03/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Unit 03)

Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. In this chapter, integration is defined and basic techniques of integration are given.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04/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 04)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch04/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Unit 04)

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. This chapter have only five exercises but it covers lot of topics of analytic geometry in the plane.</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch05/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>Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch05/view?rev=1737476036&amp;do=diff</link>
        <description>Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2

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. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06/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>Unit 06: Conic Section: Mathematics FSc part 2</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06/view?rev=1737476036&amp;do=diff</link>
        <description>Unit 06: Conic Section: Mathematics FSc part 2

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. There are nine exercises in this chapter. Please see the main page of this chapter for MCQs and important question</description>
    </item>
    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06/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 06)</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch06/viewer?rev=1737476036&amp;do=diff</link>
        <description>View Online (Solutions of Unit 06)

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. From this page, you can also download PDF of the notes.</description>
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    <item rdf:about="https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch07/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>Unit 07: Vectors: Mathematics FSc part 2</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_2_solutions/ch07/view?rev=1737476036&amp;do=diff</link>
        <description>Unit 07: Vectors: Mathematics FSc part 2

Notes (Solutions) of Unit 07: Vectors, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question</description>
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</rdf:RDF>
