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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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=&\dfrac{4}{29}+\dfrac{19}{29}i \end{align} Real part $=\dfrac{4}{29}$\\ Imaginary part $=\dfrac{19}{29}$ =====Question 7(ii)===== Separate into real and imaginary parts $\dfrac{{{\left... \ =&\dfrac{-3}{2}-\dfrac{1}{2}i\end{align} Real part $=\dfrac{-3}{2}$ \\ Imaginary part $=-\dfrac{1}{2}$ =====Question 7(iii)===== Separate into real and imaginary parts $\dfrac{1-i}{{{
Unit 02: Matrices and Determinants (Solutions) @math-11-kpk:sol
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===== Unit 02: Matrices and Determinants (Solutions) ===== This is a second unit of the book Mathema... bers and $i=\sqrt{-1}$. * Recognize $a$ as real part of $z$ and $b$ as imaginary part of $z$. * Know condition for equality of complex numbers. * Carry ... conjugate of $z=a+ib$. * Define $|z| = \sqrt{a^2+b^2}$ as the absolute value or modulus of a compl
Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
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====== Question 8, Exercise 1.2 ====== Solutions of Question 8 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbo... ====Question 8(i)===== Show that $z+\overline{z}=2\operatorname{Re}\left( z \right)$. ====Solution==... ib \right)\\ &=a+ib+a-ib\\ &=2a\\ z+\overline{z}&=2\operatorname{Re}\left( z \right)\end{align} ====
Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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rs and $i=\sqrt{-1}$. * Recognize $a$ as real part of $z$ and $b$ as imaginary part of $z$. * Know condition for equality of complex numbers. * Ca... onjugate of $z=a+ib$. * Define $|z| = \sqrt{a^2+b^2}$ as the absolute value or modulus of a complex number $z=a+ib$ * Describe algebraic propert
Definitions: FSc Part1 KPK
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====== Definitions: FSc Part1 KPK ====== A Textbook of Mathematics for Class XI is published by Khybar P... eshawar, Pakistan. The book has total of twelve (12) chapters. Definition of the book provide the qu... equal parts in length, the angle subtended by one part at the center of the circle is called a degree. ... e $90^{\circ} \pm \theta, 180^{\circ} \pm \theta, 270^{\circ} \pm \theta, 360^{\circ} \pm \theta$ are