Search
You can find the results of your search below.
Matching pagenames:
Fulltext results:
- Definitions: FSc Part 1 (Mathematics): PTB
- ll the definitions of "Textbook of Algebra and Trigonometry Class XI, published by Punjab Textbook Boa... }{c} 1&4&6 \\1&3&0\end{array}} \right]$ * **Diagonal matrix:** A square matrix having each of its elements excepts principle diagonal equal to zero and at least one elements in its principle diagonal matrix. e.g. $B = \left[ {\begin{array}{c} 1&0
- Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions
- BISE Gujrawala(2017)// * Find the numbers of diagonals of a $6-digits$ figures ---// BISE Gujrawala... nd the value of $n$ when $^nP_2=30$ ---// BISE Sargodha(2015)// * Find numbers of diagonals of $6-dided$ figure. ---// BISE Sargodha(2015)// * Find the value of $n$. $^nC_{12}=^nC_6$ ---/
- Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
- =\sqrt{2}$ --- // BISE Gujranwala(2015), BISE Sargodha(2016)// * Evaluate $(1.03)^{\frac{1}{3}}$ by... expansion $(x-\frac{2}{x})^{10}$ --- // BISE Sargodha(2015), BISE Gujranwala(2017)// * Show that $... ult $4^n>3^n+2^{n-1}$ for $n=2,3$ --- // BISE Sargodha(2015)// * Find $13$th term of $x,1,2-x,3-2x,...$ --- // BISE Sargodha(2015)// * Expand $(1-2x)^{\frac{1}{3}}$ upto
- Ch 09: Fundamental of Trigonometry @fsc-part1-ptb:important-questions
- ====== Ch 09: Fundamental of Trigonometry ====== <list-group> * Find the value of the remaining trigonometric functions of $\theta$, If $cos \theta=\fr... 3}{\sqrt{2}}$ --- //BISE Gujrawala(2017), BISE Sargodha(2017)// * Prove that $cosce \theta+tan\theta... Convert $150^{\circ}$ into radian. --- //BISE Sargodha(2015)// * Find $\theta$ when $l=1.5cm$, $r=2
- Ch 02: Functions and Groups @fsc-part1-ptb:important-questions
- stions of Chapter 2 of Textbook of Algebra and Trigonometry Class XI is published by Punjab Textbook B... n verify associativity of union --- // BISE Sargodha(2015)// * If $A,B$ are elements of a group $... that $(ab)^{-1}=b^{-1}a^{-1}$ --- // BISE Sargodha(2015)// * For $A=\{1,2,3\}$ find the relation $\{(x,y)| x+y<5\}$ --- // BISE Sargodha(2015)// * Write the set $\{x|x \in Q \wedge
- Ch 06: Sequences and Series @fsc-part1-ptb:important-questions
- frac{a}{c}}$ --- //BISE Gujranwala(2015),BISE Sargodha(2015), BISE Sargodha(2017),BISE Lahore(2017)// * With usual notation show that $AH=G^2$ ---// B... mon difference is $\frac{a-c}{2ac}$ --- //BISE Sargodha(2015)// * If $15$ and $8$ are two A.Ms between $a$ and $b$, find $a$ and $b$. --- //BISE Sargodha(2015)// * If $S_2,S_3,S_5$ are the sum of $
- Ch 10: Trigonometric Identities @fsc-part1-ptb:important-questions
- ====== Ch 10: Trigonometric Identities ====== <list-group> * Prove that (without calculator) $\sin 1... alculator find $tan(1110^{\circ})$ --- // BISE Sargodha(2015), BISE Gujrawala(2017)// * Prove that $... irc}-\alpha)=-sin\alpha cos\alpha$ --- // BISE Sargodha(2015), BISE Lahore(2017)// * Prove that (wit... 3}sin\frac{4\pi}{9}=\frac{3}{16}$ --- // BISE Sargodha(2015)// * Prove that $cot\alpha-tan\alpha=2c
- Ch 12: Applications of Trigonometry @fsc-part1-ptb:important-questions
- ====== Ch 12: Applications of Trigonometry ====== <list-group> * Find the value of $tan\frac{\alpha}... Show that $r_2=s tan\frac{\beta}{2}$--- //BISE Sargodha(2015)// * Show that $r=(s-a)tan\frac{\alpha}{2}$--- //BISE Sargodha(2015)// * The sides of a triangle are $x^2+x... le of the triangle is $120^{\circ}$ --- //BISE Sargodha(2015), FBISE(2017)// * Solve the triangle $A
- Ch 03: Matrices and Determinants @fsc-part1-ptb:important-questions
- t]$ find the value of $a$ and $b$. --- // BISE Sargodha(2017), Gujrawala(2017)// * Find the value of... \end{array}} \right]$ is singular --- // BISE Sargodha(2015)// * Find the value of $x$, $ \left[ {\... \\ x&1&0 \end{array}} \right]=0 $ --- // BISE Sargodha(2015)// * Evaluate $ \left[ {\begin{array}{c... a-l&a&a+l \end{array}} \right]$ --- // BISE Sargodha(2015)// * If $ A=\left[ {\begin{array}{c} l\
- Important Questions: HSSC-I
- portant questions for "Textbook of Algebra and Trigonometry Class XI" published by Punjab Textbook Boa... om old papers of FBISE Islamabad, BISE Lahore, Sargodha, Gujranwala, Faisalabad, Rawalpindi. * [[fs... 1-ptb:important-questions:ch09-fundamentals-of-trigonometry]] * [[fsc-part1-ptb:important-questions:ch10-trigonometric-identities ]] * [[fsc-part1-ptb:import
- Trigonometric Formulas
- ====== Trigonometric Formulas ====== These are the common formulas used in Chapter 9 to 14 of Textbook of Algebra and Trigonometry Class XI, Punjab Textbook Board Lahore. Th... formulas are given for real valued and defined trigonometric functions. A PDF file can be downloaded f... circ}}$.\\ Similar technique is used for other trigonometric ratios. i.e. $\tan \rightleftarrows \cot$
- FSc Part 1 Mathematics Notes/Solutions
- d>Notes (Solutions) of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I... rmula pages/handouts==== * **[[fsc-part1-ptb:trigonometric-formulas|Trigonometric Formulas]]** * **[[FSc:FSc Part 1 Trigonometric Review|Trigonometric Review]]** by Mr. Aqe
- Ch 01: Number Systems @fsc-part1-ptb:important-questions
- 2}=\overline z_1 +\overline z_2$ --- // BISE Sargodha(2015)// * Simplify $\frac{2}{\sqrt{5}+\sqrt{-8}}$ in the form of $a+ib$ --- // BISE Sargodha(2015)// * Simplify by justify each step $\fr... b}}{1-\frac{1}{a}\frac{1}{b}}$ --- // BISE Sargodha(2015)// * Find multiplicative inverse $(\sqrt{2}, -\sqrt{5})$ --- //BISE Sargodha(2015)// * Does the set $\{0,-1\}$ possess th
- Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
- rac{p}{q}}=0$$ --- //BISE Gujrawala(2017),BISE Sagodha(2017// * Solve the following system of equa... x+7)=(2x-1)(x+4)$ by factorization --- //BISE Sargodha(2015)// * If $\alpha$, $\beta$ are the root... alpha}{\beta}+\frac{\beta}{\alpha}$ --- //BISE Sargodha(2015)// * For what value of $m$ will the ro... e equation $(m+1)x^2+2(m+3)x+m+8=0$ --- //BISE Sargodha(2015)// * Evaluate $(1+w-w^2)(1-w+w^2)$ --
- Ch 13: Inverse Trigonometry Functions @fsc-part1-ptb:important-questions
- ====== Ch 13: Inverse Trigonometry Functions ====== <list-group> * Find the value of $cos^{-1}(\frac... sqrt{5}})+cot^{-1}(3)=\frac{\pi}{4}$--- //BISE Sargodha(2015), BISE Sargodha(2016), BISE Gujrawala(2017) // * Prove that $cos^{-1}(-x)=\pi-cos^{-1}x$---... rac{12}{13})=sin^{-1}(\frac{5}{13})$--- //BISE Sargodha(2015)// * Show that $cos(sin^{-1}x)=\sqrt{1-