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- Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
- <panel> **Question 5** Prove that $$-\frac{7}{12}-\frac{5}{18}=\frac{-21-10}{36}$$. **Solution** \begin{align} L.H.S &= -\frac{7}{12}-\frac{5}{18}\\ &= -\frac{7}{12} \times 1 - \frac{5}{18} \times 1\\ &= -\frac{7}{12} \times \left(3 \times \frac{1}{3}\right)- \frac{
- Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
- (5)(-3)-(-4)(-2),(5)(-2)+(-4)(-3))$ $=(-15-8,-10+12)=(-23,2)$ </panel> <panel> **Question 10 ** S... </panel> </col><col sm="6"> <panel> **Question 12 ** Simplify: $(5,-4)\div (-3,-8)$ **Solutions**... {1+i}\times \dfrac{1-i}{1-i}$ $=\dfrac{-5+5i-12i+12{{i}^{2}}\left( -1 \right)}{1-{{i}^{2}}}$ $=\dfrac{-5-7i+12\left( -1 \right)}{1-\left( -1 \right)}$ $=\dfrac
- Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions
- lity ====== <list-group> * Find $n$ when ${^nC_{12}}={^nC_6}$ ---// BISE Gujranwala(2015)// * Eval... Sargodha(2015)// * Find the value of $n$. $^nC_{12}=^nC_6$ ---// BISE Sargodha(2015)// * Determine
- Ch 12: Applications of Trigonometry @fsc-part1-ptb:important-questions
- ====== Ch 12: Applications of Trigonometry ====== <list-group> * Find the value of $tan\frac{\alpha}... Gujrawala(2015)// * Solve $\triangle ABC$ if $b=125$, $r=53^{\circ}$, $\alpha=47^{\circ}$ --- //BISE... Prove that the greatest angle of the triangle is $120^{\circ}$ --- //BISE Sargodha(2015), FBISE(2017)/... $80$m high the angle of depression of a boat is $12^{\circ}$. How far is the boat from the cliff? ---
- MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
- has elements - $3$ - $4$ - $8$ - $12$ - Every set is a ------ subset of itself. ... c, 3-c, 4-c, 5-d, 6-a, 7-d, 8-b, 9-a, 10-d, 11-a, 12-a, 13-b, 14-c, 15-b, 16-c, 17-b, 18-d, 19-b, 20-c
- Definitions: FSc Part 1 (Mathematics): PTB
- e.g. $a+x, x-2y, ax+b$. ===== Chapters 09,10,11,12,13,14: Trigonometry ===== * **Trigonometry:**
- Solution and Area of Oblique Triangle
- === These are the common formulas used in Chapter 12 of Textbook of Algebra and Trigonometry Class XI,
- Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
- $ --- //BISE Lahore(2017)// * Solve $3^{2x-1}-12.3^x+81=0$ --- //BISE Lahore(2017)// * When $
- Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
- t $1+\frac{1}{4}+\frac{1.3}{4.8}+\frac{1.3.5}{4.8.12},...=\sqrt{2}$ --- // BISE Gujranwala(2015), BIS
- Ch 09: Fundamental of Trigonometry @fsc-part1-ptb:important-questions
- etric functions of $\theta$, If $cos \theta=\frac{12}{13}$ and the terminal side of the angle is not i... - //BISE Gujrawala(2015)// * Express in radian $120'40''$ --- //BISE Gujrawala(2017)// * Verify $2
- Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions
- odha(2016)// * Find the value of $cos\frac{\pi}{12}$ --- // BISE Sargodha(2017)// * Show that $\fr
- Ch 13: Inverse Trigonometry Functions @fsc-part1-ptb:important-questions
- 7), FBISE(2017) // * Show that $cos^{-1}(\frac{12}{13})=sin^{-1}(\frac{5}{13})$--- //BISE Sargodha(
- MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
- b, 3-d, 4-a, 5-b, 6-b, 7-c, 8-c, 9-a, 10-d, 11-a, 12-a, 13-d, 14-c, 15-a, 16-c, 17-d, 18-b, 19-d, 20-d
- MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
- c, 3-a, 4-b, 5-b, 6-b, 7-a, 8-b, 9-c, 10-d, 11-b, 12-c, 13-b, 14-a, 15-b, 16-d, 17-c, 18-a, 19-d, 20-b