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MCQs: Ch 01 Number Systems @fsc-part1-ptb:mcq-bank
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$\sqrt{2}$ is ------- number. - natural - complex - irrational - $\displaystyle{\frac{p}{q}... 33...)$ is a ----- number. - irrational - complex - real - rational - For all $a, b, c \i... ------- number. - real - conjugate - complex - imaginative - Every real number is a complex number with $0$ as its --------- part. - conjugat
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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ore.</lead> 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
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib
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and \( a \times b \) are also real numbers. ====Complex Number==== A complex number is a number of the form \( z = x + iy \), where \( x \) and \( y \) are real n... part of \( z \). ===Example=== Some examples of complex numbers include \( 2 \), \( 3 + \sqrt{3}i \), and... n Argand diagram is a graphical representation of complex numbers on the complex plane. It is similar to th
Multiple Choice Questions (MCQs)
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frac{ka}{kb}$ - Geometrically, the modulus of a complex number represents its distance from the * poi... Trigonometry * Translatory - Every non-zero complex number $(a,b)$ has a multiplicative inverse equal... b^2}, \frac{-b}{a^2+b^2})$ - The conjugate of a complex number $(a,b)$ is equal to ------ * $(-a,-b)$... $(a,-b)$ - The figure representing one or more complex numbers on a complex plane is called ------- diag
Definitions: FSc Part 1 (Mathematics): PTB
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d multiplication in a set of real numbers. * **Complex number:** The number of the form of $z=x+iy$, where $x,y \in \mathbb{R}, i = \sqrt{-1}$ is called complex number. Here $x$ is called real part and $y$ is ... nd diagram:** The figure representing one or more complex numbers on the complex plane is called argand diagram. * **Modulus of complex number:** The modulus of
MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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xponential Equations - None of these - Each complex cube root of unity is - Cube of the other ... $1$ - $-1$ - $2$ - $-2$ - Both the complex fourth roots of unity are - Reciprocal of eac... - $\frac{-1+\sqrt{3i}}{2}$ - If $w$ is the complex root of unity then its conjugate is - $-w$ ... - The roots of the equations $ax^2+bx+c=0$ are complex or imaginary if - $b^2-4ac\geq 0$ - $b^2-
Ch 01: Number Systems @fsc-part1-ptb:important-questions
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}$ --- //BISE Gujrawala(2015)// * If $z$ be a complex number then prove that $\overline{z_1 + z_2}=\ove