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Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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n} <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit10:ex10-2-p5|< Question 6]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit10:ex10-2-p7|Question 8, 9 >]]</btn></text>
Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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estion 7(i)===== Separate into real and imaginary parts $\dfrac{2+3i}{5-2i}$. ====Solution==== \begin{align}&\dfrac{2+3i}{... =&\dfrac{4}{29}+\dfrac{19}{29}i \end{align} Real part $=\dfrac{4}{29}$\\ Imaginary part $=\dfrac{19}{29}$ =====Question 7(ii)===== Separate into real and imaginary parts $\dfrac{{{\left( 1+2i \right)}^{2}}}{1-3i}$. ====Solution==== \begin{align}&\dfrac
Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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estion 7(i)===== Separate into real and imaginary parts $\dfrac{2+3i}{5-2i}$. ====Solution==== \begin{align}&\dfrac{2+3i}{... =&\dfrac{4}{29}+\dfrac{19}{29}i \end{align} Real part $=\dfrac{4}{29}$\\ Imaginary part $=\dfrac{19}{29}$ =====Question 7(ii)===== Separate into real and imaginary parts $\dfrac{{{\left( 1+2i \right)}^{2}}}{1-3i}$. ====Solution==== \begin{align}&\dfrac
Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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==== <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit01:ex1-2-p4|< Question 5]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit01:ex1-2-p6|Question 7 >]]</btn></text>
Chapter 04: Quadratic Equations @fsc:fsc_part_1_solutions
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_4_1_FSC_part1.pdf|Download PDF]] * Exercise 4.2 | [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=13&ch=04&fp=Ex_4_2_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_2_FSC_part1.pdf|Download PDF]] * Exercise 4.3 | [[mdoku>fsc:fsc_part_1_solutions:c... wnload PDF]] * Exercise 4.7 | [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=2&ch=04&fp=Ex_4_7_FSC_part1|View Online]] | [[pdf>f
Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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==== <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit01:ex1-2-p2|< Question 2]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit01:ex1-2-p4|Question 5 >]]</btn></text>
Question 5, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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==== <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit01:ex1-2-p3|< Question 3 & 4]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit01:ex1-2-p5|Question 6 >]]</btn></text>
Question 8 and 9, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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-1}=R.H.S.\end{align} <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit10:ex10-2-p6|< Question 7]]</btn></text>
Question 6, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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<text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit10:ex10-2-p4|< Question 4, 5]]</btn></text> <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit10:ex10-2-p6|Question 7 >]]</btn></text>
Question 2, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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====== Question 2, Exercise 10.1 ====== Solutions of Question 2 of Exercise 10.1 of Unit 10: Trigonometric Identities... (KPTB or KPTBB) Peshawar, Pakistan. ====Question 2(i)==== Evaluate exactly: $\sin \dfrac{\pi }{12}$ ===Solution=== We rewrite $\dfrac{\pi }{12}$ as $\
Question 13, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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} \text{ and } r=\sqrt{2}.\end{align} <text align="left"><btn type="primary">[[fsc-part1-kpk:sol:unit10:ex10-1-p10|< Question 11,12]]</btn></text>
Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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nd the solutions of the equation ${{z}^{4}}+{{z}^{2}}+1=0$\\ ====Solution==== \begin{align}{{z}^{4}}+{{z}^{2}}+1&=0\\ {{z}^{4}}+2\left( \dfrac{1}{2} \right){{z}^{2}}+\dfrac{1}{4}-\dfrac{1}{4}+1&=0\\ {{\left( {{z}^{2}}+\dfrac{1}{2}
Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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stan. =====Question 5(i)===== Prove that $$\cos {{20}^{\circ }}\cos {{40}^{\circ }}\cos {{60}^{\circ ... \dfrac{1}{16}.$$ ====Solution==== We know that\\ $2\cos \alpha \cos \beta =\cos \left( \alpha +\beta ... ha -\beta \right)$\\ \begin{align}L.H.S.&=\cos {{20}^{\circ }}\cos {{40}^{\circ }}\cos {{60}^{\circ }}\cos {{80}^{\circ }}\\ &=\cos {{20}^{\circ }}\cos {{40}^{\circ }}\left( \dfrac{1}{2
Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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====== Question 2, Exercise 1.3 ====== Solutions of Question 2 of Exercise 1.3 of Unit 01: Complex Numbers. This is un... KPTB or KPTBB) Peshawar, Pakistan. =====Question 2(i)===== Factorize the polynomial $P(z)$ into linear factors. $$P\left( z \right)={{z}^{3}}+6z+20$$ ====Solution==== Given: $$p\left( z \right)=
Question 1 Exercise 4.5 @math-11-kpk:sol:unit04
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{align} ====Go To==== <text align="right"><btn type="success">[[fsc-part1-kpk:sol:unit04:ex4-5-p2|Question 2 >]]</btn></text>
Unit 03: Integration @fsc:fsc_part_2_solutions
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Question 2, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Unit 01: Functions and Limits @fsc:fsc_part_2_solutions
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Question 1 Exercise 5.3 @math-11-kpk:sol:unit05
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Question 6, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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Solution and Area of Oblique Triangle @fsc-part1-ptb
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Question11 and 12, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 2, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 5 & 6 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 12, 13 & 14, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 4 and 5, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
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Question 2, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Question 5, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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MTH322: Real Analysis II (Spring 2023) @atiq
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Mathematics 10 (Science Group) @matric
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Question 1, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 7 & 8 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 4 Review Exercise @math-11-kpk:sol:unit05
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FSc Part 1 (KPK Boards) @fsc
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Question 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10
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Question 1, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 1, Exercise 10.3 @math-11-kpk:sol:unit10
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Question, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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FSc/ICS Part 2 Solutions @fsc
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Question 2 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 2 & 3 Exercise 5.4 @math-11-kpk:sol:unit05
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Chapter 01: Number System @fsc:fsc_part_1_solutions
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Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 1, Review Exercise 1 @fsc-part1-kpk:sol:unit01
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Formatting Syntax @wiki
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Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 3.2 @math-11-kpk:sol:unit03
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Question 6 Exercise 3.4 @math-11-kpk:sol:unit03
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Home
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Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 3, Exercise 10.2 @fsc-part1-kpk:sol:unit10
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FSc/ICS Part 2 (Mathematics): PTB
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Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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FSc Part 1 Mathematics Notes/Solutions @fsc-part1-ptb
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FSc Part 1 Mathematics Notes/Solutions @fsc
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Question 3, Exercise 10.2 @math-11-kpk:sol:unit10
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Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 1, Review Exercise 10 @fsc-part1-kpk:sol:unit10
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Question 3 Exercise 4.5 @math-11-kpk:sol:unit04
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MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
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Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Akhtar Abbas @people
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Question 1, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 5 & 6 Review Exercise @math-11-kpk:sol:unit05
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FSc/ICS Part 1 (Mathematics): PTB
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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 1, Exercise 10.1 @math-11-kpk:sol:unit10
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MTH321: Real Analysis I (Spring 2023) @atiq
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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 4 Exercise 4.5 @math-11-kpk:sol:unit04
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Question 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Unit 05: Miscellaneous Series (Solutions) @math-11-kpk:sol
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MCQs/Objective: HSSC-I @fsc
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Partial Differential Equations by M Usman Hamid @notes
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Partial Differential Equations by Muzammil Tanveer @notes
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Question 9 and 10, Exercise 10.1 @fsc-part1-kpk:sol:unit10
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Question 9 & 10 Exercise 4.5 @math-11-kpk:sol:unit04
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Important Questions: HSSC-II @fsc-part2-ptb
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Question 9, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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FSc Part 1 (Mathematics): KPK
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MTH480: Introductory Quantum Mechanics @atiq
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Definitions: FSc Part1 KPK @fsc-part1-kpk
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Short Term Preparation FSc/ICS 1 @fsc-part1-ptb
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Definitions: FSc Part1 KPK @math-11-kpk
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Complex Analysis by M Usman Hamid @notes
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FSc/ICS Part 1 (Mathematics): KPK
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Notes of Mathematics
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Fluid Mechanics by Ali Raza @notes
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Question 4 Exercise 5.4 @math-11-kpk:sol:unit05
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Complex Analysis (Quick Review) @notes
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MTH480: Introductory Quantum Mechanics @atiq
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