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- 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
- 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_
- Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
- * Using binomial theorem,expand $\left(\frac{x}{2}-\frac{2}{x^2}\right)$ --- // BISE Gujranwala(2015)// * Find the $6$th term in the expansion of $\left( x^2-\fra
- Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
- tions) ====== <lead>Notes (Solutions) of Exercise 2.8: Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore.... KISTAN. \\ Page URL: https://www.mathcity.org/fsc-part1-ptb/sol/unit-02/ex2-8 \\ **License:** These resources are shared
- Ch 03: Matrices and Determinants @fsc-part1-ptb:important-questions
- -4 \end{array}} \right]= \left[ {\begin{array}{c} 2&1\\ -3&2 \end{array}} \right]$ --- // BISE Gujrawala(2015)// * Solve for matrix $A$ if $\left[ {\begin{array}{c}4&3\\ 2&2 \end{array}} \right]A-\left[ {\begin{array}{c}
- Trigonometric Formulas
- u need. <panel> <grid><col sm="6"> * ${{\sin }^{2}}\theta +{{\cos }^{2}}\theta =1$ * $1+{{\tan }^{2}}\theta ={{\sec }^{2}}\theta$ * $1+{{\cot }^{2}}\theta ={{\csc }^{2}}\theta$ </col><col sm="6">
- Ch 04: Quadratic Equations @fsc-part1-ptb:important-questions
- c Equations ====== <list-group> * Reduce $x^{-2}-10=3x^{-1}$ to quadratic form --- //BISE Gujrawala(2015)// * Show that $x^3-y^3=(x-y)(x-wy)(x-w^2y)$ --- //BISE Gujrawala(2015)// * If $n$ is an odd integer, is $(x+a)$ factor of $(x^n+a^n)$? -
- Definitions: FSc Part 1 (Mathematics): PTB
- has only a finite number of digits in its decimal part, is called terminating decimal.\\ e.g. 0.33333... and 21.134134... is examples of terminating decimal. ... s called complex number. Here $x$ is called real part and $y$ is called imaginary part of $z$.\\ e.g. $2, 3+\sqrt{3}i, \frac{1}{2}+i$. * **Real plane or coordinate plane:** T... l Equation:** It is an equation which is true for particular values of variable.\\ e.g. $2x=3$, if $x=\frac{2}{3}$. ===== Chapter 06: Sequence and series ===... in a sequence is called series. \\ e.g. $1+4+9+16+25$ * **Arithmetic Sequence:** A sequence $\{
- Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE
- arks}} ===== Old or Past Papers ===== * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2019-fbise|Mathematics I (Annual 2019)]] NEW * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2018-gp1-fbise|Mathematics I (Annual 2018) - Group 1]] NEW * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2018-gp2-fbise|Mathematics I (Annual 2018) - Group 2]] NEW * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2017-fbise|Mathematics I (Annual 2017) with Solutio
- Ch 12: Applications of Trigonometry @fsc-part1-ptb:important-questions
- ====== Ch 12: Applications of Trigonometry ====== <list-group> * Find the value of $tan\frac{\alpha}{2}$ in term of $s$ --- //BISE Gujrawala(2015)// * Solve $\triangle ABC$ if $b=125$, $r=53^{\circ}$, $\alpha=47^{\circ}$ --- //BISE Gujrawala
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
- Example=== Consider the complex number \( z = 3 + 2i \). In the Argand diagram, the real part \( x = 3 \) corresponds to the horizontal axis, and the imaginary part \( y = 2 \) corresponds to the vertical axis. Thus, \( z \... t of the sum of squares of its real and imaginary parts: \( |z| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \). Therefore, \( |z| = 5 \). =====Chapter 02: Set and Operations===== ====Set==== A set is a w
- Solution and Area of Oblique Triangle
- == These are the common formulas used in Chapter 12 of Textbook of Algebra and Trigonometry Class XI,... le="The Law of Cosine"> <grid><col sm="6"> * $a^2=b^2+c^2-2bc\cos \alpha$ * $b^2=c^2+a^2-2ca\cos \beta$ * $c^2=a^2+b^2-2ab\cos \gamma$ </col><col sm=
- Papers (Old/Past/Model): FBISE @fsc-part1-ptb:fbise-papers
- ers.php}} ====List of old papers==== * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2019-fbise|Mathematics I (Annual 2019)]] NEW * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2018-gp1-fbise|Mathematics I (Annual 2018) - Group 1]] NEW * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2018-gp2-fbise|Mathematics I (Annual 2018) - Group 2]] NEW * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2017-fbise|Mathematics I (Annual 2017) with Solutio
- Ch 06: Sequences and Series @fsc-part1-ptb:important-questions
- $r=\pm \sqrt{\frac{a}{c}}$ --- //BISE Gujranwala(2015),BISE Sargodha(2015), BISE Sargodha(2017),BISE Lahore(2017)// * With usual notation show that $AH=G^2$ ---// BISE Gujrawala(2015)//