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        <title>MathCity.org Beta</title>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
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        <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>
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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>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>
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        <title>Chapter 03: Matrices and Determinants</title>
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        <description>Chapter 03: Matrices and Determinants

[Chapter 03: Matrices and Determinants]

Notes (Solutions) of Chapter 03: Matrices and Determinants, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary

	*  Introduction$2\times2$$2\times2$$2\times2$$n\geq 3$$n\geq 3$</description>
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        <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>
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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>Chapter 05: Partial Fractions</title>
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        <description>Chapter 05: Partial Fractions

[Chapter 05: Partial Fractions]
Notes (Solutions) of Chapter 05: Partial Fractions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary

	*  Introduction
	*  Rational Fraction$\frac {P(x)}{Q(x)}$</description>
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        <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>
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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>Chapter 07: Permutation, Combination and Probability</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch07?rev=1737476035&amp;do=diff</link>
        <description>Chapter 07: Permutation, Combination and Probability

[Chapter 07: Permutation , Combination and Probability]
Notes (Solutions) of Chapter 07: Permutation , Combination and Probability, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.

Contents &amp; summary</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>Chapter 08: Mathematical Induction and Binomial Theorem</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch08?rev=1737476036&amp;do=diff</link>
        <description>Chapter 08: Mathematical Induction and Binomial Theorem

[Chapter 08 Mathematical Induction and Binomial Theorem]
Notes (Solutions) of Chapter 08: Mathematical Induction and Binomial Theorem, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore.$(a+x)^n$$(a+x)^n$</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>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>
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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>Chapter 10: Trigonometric Identities</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch10?rev=1737476036&amp;do=diff</link>
        <description>Chapter 10: Trigonometric Identities

[Chapter 10: Trigonometric Identities]
Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are four exercise in this chapter.</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>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: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>
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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>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>Chapter 14: Solutions of Trigonometric Equation</title>
        <link>https://beta.mathcity.org/fsc/fsc_part_1_solutions/ch14?rev=1737476036&amp;do=diff</link>
        <description>Chapter 14: Solutions of Trigonometric Equation

[Chapter 14: Solutions of Trigonometric Equation]
Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, 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\sqr…</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>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

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