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- MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
- ====== MCQs: Ch 01 Number Systems ====== High quality MCQs of Chapter 01 Number System of Text Book of Algebra and Trigonometry Cla... $ - $-2i$ - $2$ - $\sqrt{2}$ is ------- number. - natural - complex - irrational ... $\displaystyle{\frac{p}{q}}$ form - A rational number is a number which can be expressed in the form --
- Definitions: FSc Part 1 (Mathematics): PTB
- ptb:definitions-aurang-zaib]] ===== Chapter 01: Number system ===== * **Rational number:** A number which can be written in the form of $\frac{p}{q}$, where $p,q \in \mathbb{Z}$, $q\neq 0$, is called a rational number * **Irrational number:** A real number which c
- Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
- for his valuable contribution. =====Chapter 01: Number System===== ====Rational Number==== A number which can be expressed in the form \( \dfrac{p}{q} \), where \( p, q \in \mathbb{Z} \) and \( q \neq 0 \), is termed as a rational number. ===Example==== \( \dfrac{3}{4} \), \( \dfrac{7}{
- Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
- ad> The main topics of this exercise are complex numbers, real part and imaginary part of complex numbers, properties of the fundamental operation on complex numbers, complex number as ordered pair of real numbers and special subset of complex numbers. These notes are b
- Multiple Choice Questions (MCQs)
- f $n$ is prime, then $\sqrt{n}$ is * rational number * whole number * natural number * irrational number - Multiplicative property of order of real numbers is that $\forall a, b, c \in
- MCQs: Ch 02 Sets, Functions and Groups @fsc-part1-ptb:mcq-bank
- f these - The objects in a set are called - Numbers - Terms - Elements - None of these ... ds or symbols which convey the idea of quality or number are called - Contingency - Contradiction ... n - None of these - The negation of a given number is called - Binary operation - A function... ary operation is an operation which yield another number when performed on --------- - Two numbers
- Ch 07: Permutation, Combination and Probability @fsc-part1-ptb:important-questions
- // BISE Gujranwala(2015)// * How many $6-digit$ numbers can be formed from the digits $2,2,3,3,4,4$? How... _{n-r}$ ---// BISE Gujrawala(2017)// * Find the numbers of diagonals of a $6-digits$ figures ---// BISE... n $^nP_2=30$ ---// BISE Sargodha(2015)// * Find numbers of diagonals of $6-dided$ figure. ---// BISE Sar... he probability that the dots on the top are prime number or odd number. ---// BISE Sargodha(2015)// * Th
- Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
- )** Determine whether or not the set of rational number form groups with respect to $\times$. **Solutio... n set $\mathbb{Q}$. Therefore the set of rational number is not a group w.r.t to “$\times $”. **Question... i)** Determine whether or not the set of rational number form groups with respect to $+$. **Solution** ... \mathbb{Q}$ under $+$ because sum of two rational number is also rational. b- Associative property holds
- MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
- Equations ====== High quality MCQs of Chapter 01 Number System of Text Book of Algebra and Trigonometry C... - Linear - Cubic - None of these - Number of basic techniques for solving a quadratic equat... - Coefficients - None of these - Maximum number of roots of a quadratic equation are - One
- Ch 01: Number Systems @fsc-part1-ptb:important-questions
- ====== Ch 01: Number Systems ====== <list-group> * Simplify $(i)^{19}$ --- //BISE Gujrawala(2015)// * If $z$ be a complex number then prove that $\overline{z_1 + z_2}=\overline z
- Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
- in topics of this exercise are properties of real numbers, binary operation, addition and multiplication l... ng equations (Letters, where used, represent real numbers). **Solutions** (i) $(4+9)=(9+4)$ **Property:
- Important Questions: HSSC-I
- di. * [[fsc-part1-ptb:important-questions:ch01-number-systems]] * [[fsc-part1-ptb:important-question
- Short Term Preparation FSc/ICS 1
- are also given. **Sample:** - $\sqrt{2}$ is a number - Rational - Irrational - Prime -