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  • Ch 08: Mathematical Induction and Binomial Theorem

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Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE
35 Hits, Last modified: 5 months ago
}} Old (past) question papers and model papers of mathematics for HSSC-I (FSc Part 1) conducted by Feder... ==Paper Pattern===== The recommended book for the mathematics paper is "Textbook of Algebra and Trigonom... * **[[:fsc-part1-ptb:fbise-papers:view?f=hssc-i-mathematics-model-paper-fbise|Official Model Paper wit... s ===== * [[:fsc-part1-ptb:fbise-papers:view?f=mathematics-hssc-i-annual-2019-fbise|Mathematics I (An
Papers (Old/Past/Model): FBISE @fsc-part1-ptb:fbise-papers
34 Hits, Last modified: 5 months ago
ease remember, only old papers or model papers of Mathematics FSc Part 1 (HSSC-I) conducted by Federal B... ers==== * [[: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
Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
33 Hits, Last modified: 5 months ago
8: Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Boa... rning Outcomes (SLOs). Version: 4.1, Available at MathCity.org <grid><col sm="6"> <panel> **Question ... h respect to $\times$. **Solution** As $0\in \mathbb{Q}$, multiplicative inverse of $0$ in not in set $\mathbb{Q}$. Therefore the set of rational number is no
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
14 Hits, Last modified: 5 months ago
====== Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib====== Definitions from **Textbook of Al... n the form \( \dfrac{p}{q} \), where \( p, q \in \mathbb{Z} \) and \( q \neq 0 \), is termed as a ration... s referred to as the real numbers, denoted as \( \mathbb{R} \). ====Terminating Decimal==== A decimal n... ). ===Example=== In the set of real numbers \( \mathbb{R} \), two important binary operations are addi
MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
14 Hits, Last modified: 5 months ago
f Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Bo... c{q}{p}}$ where $p,q \in N \wedge q \neq 0$ - $\mathbb{R}=$ - $\mathbb{Q} \cup \mathbb{N}'$ - $\mathbb{Q}$ - $\mathbb{Q} \cup \mathbb{Q}'$ - $\mathbb{Q}$ - $\
Definitions: FSc Part 1 (Mathematics): PTB
11 Hits, Last modified: 5 months ago
====== Definitions: FSc Part 1 (Mathematics): PTB ====== On this page, all the definitions of "Textbook ... ten in the form of $\frac{p}{q}$, where $p,q \in \mathbb{Z}$, $q\neq 0$, is called a rational number ... en in the form of $\frac{p}{q}$, where $p,q \in \mathbb{Z}$, $q\neq 0$, is called an irrational number.... eal numbers, or simply the "reals," and denoted $\mathbb{R}$. * **Terminating decimal:** A decimal w
Question Paper/Model Paper/Paper Pattern HSSC-I: BISE
9 Hits, Last modified: 5 months ago
of the HSSC-I or FSc Part 1 paper pattern of the mathematics subject. All the boards follow the same pa... n. Old (past) question papers and model papers of mathematics for HSSC-I (FSc Part 1) conducted by Board... * [[:fsc-part1-ptb:bise-papers:view?f=bise_lahore_maths_ann2011_fsc_part1|Annual 2011 - Group-1 (Lahore ... * [[:fsc-part1-ptb:bise-papers:view?f=bise_lahore_maths_ann2010_fsc_part1|Annual 2010 - Group-1 (Lahore
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
9 Hits, Last modified: 5 months ago
2: Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Boa... rning Outcomes (SLOs). Version: 4.0, Available at MathCity.org <grid><col sm="6"> <panel> **Question 1*... verse \[\begin{array}{l} \mbox{For each} \; z\in \mathbb{C}, \mbox{there exists}\; -z\in \mathbb{C} \mbox{ such that}\; z+\left( -z\right) =0 \\ \mbox{In fact
Papers (Old/Past/Model): BISE @fsc-part1-ptb:bise-papers
8 Hits, Last modified: 5 months ago
ease remember, only old papers or model papers of Mathematics FSc Part 1 (HSSC-I) conducted by Board of ... * [[:fsc-part1-ptb:bise-papers:view?f=bise_lahore_maths_ann2011_fsc_part1|Annual 2011 - Group-1 (Lahore ... * [[:fsc-part1-ptb:bise-papers:view?f=bise_lahore_maths_ann2010_fsc_part1|Annual 2010 - Group-1 (Lahore ... * [[:fsc-part1-ptb:bise-papers:view?f=bise_lahore_maths_ann2010_fsc_part1_gp2|Annual 2010 - Group-2 (Lah
Definitions: Mathematics 11: PTB by Muzzammil Subhan
4 Hits, Last modified: 5 months ago
====== Definitions: Mathematics 11: PTB by Muzzammil Subhan====== Definitions from **Textbook of Algebra... s" icon="fa fa-download"> * **{{ :fsc-part1-ptb:math-11-ptb-definitions-muzzammil-subhan.pdf |Download... ammil Subhan"> {{gview noreference>:fsc-part1-ptb:math-11-ptb-definitions-muzzammil-subhan.pdf}} </modal> </callout> {{tag>Math-11-PTB Definitions Muzzammil_Subhan}}
FSc Part 1 Mathematics Notes/Solutions
4 Hits, Last modified: 5 months ago
====== FSc Part 1 Mathematics Notes/Solutions ====== {{ :fsc:fsc-math-xi-ptb.jpg?nolink|FSc Part1 PTB Book Cover}} <lead>Notes... of Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Boa... igonometric Formulae]]** (by Ali Nawaz Bajwa (MS(Math), M.Ed.)) 8-O {{tag>FSc FSc_Part1 Solutions_FSc_
Ch 08: Mathematical Induction and Binomial Theorem @fsc-part1-ptb:important-questions
4 Hits, Last modified: 5 months ago
====== Ch 08: Mathematical Induction and Binomial Theorem ====== <list-group> * Using binomial theorem... BISE Sargodha(2016),BISE Sargodha(2017)// * Use mathematical induction to prove the following formula ... o three terms. --- // BISE Lahore(2017)// * Use mathematical induction to prove that $1+4+7+...+(3n-2)... .)^2$ --- // FBISE (2016)// * Use principal of mathematical induction to show that $1^2+3^2+5^2+...+(
Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
3 Hits, Last modified: 5 months ago
1: Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Boa... rning Outcomes (SLOs). Version: 4.0, Available at MathCity.org <grid><col sm="6"> <panel> **Question 1... xtbook Board, Lahore - PAKISTAN. \\ [[https://www.mathcity.org/fsc-part1-ptb/sol/ch01/ex1-1|Page URL]] \
Important Questions: HSSC-I
2 Hits, Last modified: 5 months ago
types of questions which may asked final paper of mathematics for FSc/ICS (HSSC) Part 1. Lot of energy h... ]] * [[fsc-part1-ptb:important-questions:ch08-mathematical-induction-and-binomial-theorem]] * [[f
Short Term Preparation FSc/ICS 1
1 Hits, Last modified: 5 months ago
rtant MCQs, Short Questions and Long Questions of Mathematics HSSC-I (FSc/ICS Part 1) from the Textbook
MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
1 Hits, Last modified: 5 months ago
MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
1 Hits, Last modified: 5 months ago