Question Text
Question 2 :
The value of ${\left( {1 + i} \right)^5} \times {\left( {1 - i} \right)^5}$ is
Question 3 :
$i^n + i^{n + 1} + i^{n + 2}+ i^{n + 3} (n   \in   N) $ is equal to
Question 4 :
The value of $\displaystyle \left ( \frac{1-i}{1+i} \right )^{10}+\left ( \frac{1+i}{1-i} \right )^8=$
Question 7 :
Let $a$ be a fixed nonzero complex number with $|a| < 1$ and $w=\left(\displaystyle\frac{z-a}{1-\bar{a}z}\right)$, where $z$ is a complex number. Then,
Question 8 :
The value of $\dfrac{1}{i} + \dfrac{1}{{{i^2}}} + \dfrac{1}{{{i^3}}} + ... + \dfrac{1}{{i^{102}}}$ is equal to 
Question 10 :
The complex number z satisfies the equation z + |z| = 2 + 8i. Then the value of |z| is
Question 11 :
The argument of the complex number $\sin \dfrac {6\pi}{5}+i\left(1+\cos \dfrac {6\pi}{5}\right)$ is
Question 12 :
If $z_1, z_2$ be two non zero complex numbers satisfying the equation $\displaystyle \left | \frac{z_1 + z_2}{z_1 - z_2} \right | = 1$ then $\displaystyle \frac{z_1}{z_2} + \left ( \frac{z_1}{z_2} \right )$ is