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- Exercise 2.6 (Solutions) @matric:9th_science:unit_02
- ac{\overline{z}}{\overline{w}}$ * (v) $\frac{1}{2}(z+\overline{z})$ is real part of z * (vi) $\frac{1}{2i}(z-\overline{z})$ is the imaginary part of z **Solution**\\ 6(i) $$\begin{array}{cl} z = 2+3i\\ w = 5-4i\\ * (i... &= \frac{1}{2}(4)\\ &= 2 \hbox{ (it is real part of } z). \end{array}$$ 6(vi) $$\begin{array}{cl} \frac{1}{2i}(z-\overline{z}) &= \frac{1}{2}(2+3i-(2-3i))\\
- Question 7, Exercise 10.2 @fsc-part1-kpk:sol:unit10
- 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>
- MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
- lgebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. The... nd of the page. ====MCQs==== - An equation $ax^2+bx+c=0$ is called - Linear - Quadratic ... - None of these - For a quadratic equation $ax^2+bx+c=0$ - $b \neq 0$ - $c \neq 0$ - $... her name for a quadratic equation in $x$ is - 2nd degree - Linear - Cubic - None of t
- PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
- unction - guage function - neither - A particle moves along a curve \(F=(e^{-1},2\cos 3t,2\sin 3t)\), where \(t\) is time. The velocity at \... ily of hyperbola - a family of circles - A particular integral of the differential equation \((D^2+4)y=x\) is \\ - \(xc^{-2x}\) - \(x\cos2... $\dfrac{\pi}{6}$ - $\dfrac{\pi}{8}$ - If a particle in equilibrium is subjected to four forces \(F_1=2\hat i-5\hat j+6\hat k\), \(F_2=\hat i+3\hat j-7\hat k\), \(F_3=2\hat i-2\hat j-3\hat k\) and \(F_4\)
- Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
- ons) ====== <lead>Notes (Solutions) of Exercise 1.2: Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore.... estion 16(i) ** Separate into real and imaginary parts: $\dfrac{2-7i}{4+5i}$ (write into simple complex number) ... stion 16(ii) ** Separate into real and imaginary parts $\dfrac{{{\left( -2+3i \right)}^{2}}}{\left( 1+i \right)}$ (write into simple complex number) **Solutions** $\dfrac{{{\left( -2+3i \right)}^{2}}}{\left( 1+i \right)}=\dfrac{4+9{
- MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
- lgebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. The... style{\frac{3}{10}})$ - $\displaystyle{\frac{3}{2+2i}}=$ - $1-i$ - $1+i$ - $-2i$ - $\displaystyle{\frac{3-3i}{4}}$ - $\overline{z_1+z_
- Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- 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
- Unit 03: Integration @fsc-part2-ptb:important-questions
- frac{dy}{dx})=2(y^2+\frac{dy}{dx})$--- // BSIC Sargodha(2017)// </list-group> {{tag>FSc FSc_Part2 Important_Questions_FSc_2}}
- Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
- 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
- PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
- ====== PPSC Paper 2015 (Lecturer in Mathematics) ====== {{ :ppsc:ppsc-maths-2015.jpg|PPSC Paper 2011 (Lecturer in Mathematics)}} On this page, we have given question from old (p... aper of Lecturer in Mathematics conducted in year 2011. This is a MCQs paper and answers are given at
- Unit 06: Conic section @fsc-part2-ptb:important-questions
- f the conic $y=1+x^2$ and $y=1+4x-x^2$.--- // BSIC Sargodha(2017)// </list-group> {{tag>FSc FSc_Part2 Important_Questions_FSc_2}}
- Key to MCQs by Muhammad Imran Qureshi @fsc:fsc_part_1_mcqs:mcqs_by_muhammad_imran_qureshi
- shi======= This page include the key to [[fsc:fsc_part_1_mcqs: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 | 1
- Unit 02: Differentiation @fsc-part2-ptb:important-questions
- x}$ w.r.t.$x$ from first principle. --- // BSIC Sargodha(2017)// </list-group> {{tag>FSc FSc_Part2 Important_Questions_FSc_2}}
- Unit 02: Differentiation @fsc:fsc_part_2_solutions
- ===== Unit 02: Differentiation ====== {{ :fsc:fsc_part_2_solutions:fsc-2-unit-02-ptb.jpg?nolink|Unit 02: Differentiation}} Notes (Solutions) of Unit 02: ... ion, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You... er the derivative just take a print of [[FSc: FSc Part 2 Important Derivatives & Integrals|Important Deriv... ype="success" icon="fa fa-download"> * Exercise 2.1 | [[vfsc2>ch02:view&cp=01&p=07&ch=02&fp=Ex-2-1-FSC-part2-ver3-1|View Online]] | [[pdf>files/fsc/fsc_part2
- Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- ==== <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>
- Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2 @fsc:fsc_part_2_solutions:ch05
- 5th UMT International Conference on Pure and Applied Mathematics, Lahore (March 29th to 31st, 2019) @conferences
- Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch07
- 22nd International Pure Mathematics Conference on Algebra, Analysis and Geometry (23 to 25 August 2021) @events
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
- Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch08
- 5th World Conference on 21st Century Mathematics 2011, ASSMS, Lahore (9-13 February 2011) @conferences
- International Conference on Mathematical Inequalities and Application 2010, ASSMS, Lahore (7-13 March 2010) @conferences
- 1st SIBAU-NU International Workshop on Matrix Analysis and Linear Algebra (15-17 October 2021) @events
- Recent Advances in Mathematical Methods, Models & Applications, LSC Lahore, Pakistan (April 13-14, 2019) @conferences
- One Day International Symposia on Pure and Applied Mathematics UoS Sargodha (January 27, 2014) @conferences