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Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
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well-defined. ====Methods to describe a set==== There are 3 method to describe a set ====Descriptive Me... ====Equivalent Set==== Two sets are equivalent if there exists a one-to-one correspondence between their ... forms a group because for every integer \( a \), there exists its additive inverse \( -a \), and additio
MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
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every statement is regarded as true or false and there is no other possibility is called - Propositi... of these - The symbol $\forall$ stand for - There exist - Belongs to - Such that - For ... - Belongs to - Such that - For all - There exists - Truth set of tautology in the relevant
Definitions: FSc Part 1 (Mathematics): PTB
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ct collection of distinct object is called set.\\ There are three ways to describe a set.\\ * **Descri... 1}{5},\frac{1}{7}$ are in harmonic sequence since there reciprocals $1,3,5,7$ are in $A.P$. * **Harmon
FSc Part 1 Mathematics Notes/Solutions
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SC-I), Punjab Textbook Board (PTB) Lahore.</lead> There are fourteen chapters in this book and we have wo... l License or stated otherwise. To view PDF files, there must be PDF Reader (Viewer) installed on your PC
MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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a)=$ - $1$ - $0$ - $2$ - $-1$ - There is a nice short cut method for long division of p... =$ - $1$ - $-1$ - $w$ - $w^2$ - There are ----- basic techniques for solving a quadrati
Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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$a+\sqrt{3}b \in G$ where $a$ & $b$ are rational, there exit rationals $– a$ & $-b$ such that \begin{ali... f non-singular square matrix exists, for $A\in G$ there exist ${{A}^{-1}}\in G$ such that $A{{A}^{-1}}={
Question Paper/Model Paper/Paper Pattern HSSC-I: BISE
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mediate and Secondary Education (BISE) in Punjab. There are lot of boards (e.g. Multan Board, Faisalabad
Old Question Papers/Model Papers HSSC-I (FSc-I): FBISE
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by Punjab Textbook Board (PTB) Lahore, Pakistan". There are two parts of the paper, one is objective and
MCQs Bank: FSc-I
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bra and Trigonometry Class XI are available here. There are fourteen (14) chapters in this book, therefor
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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ray}{l} \mbox{For each} \; z\in \mathbb{C}, \mbox{there exists}\; -z\in \mathbb{C} \mbox{ such that}\; z+