Question 1 :
Find the wrong term in sequence :2916, 972, 354, 108, 36, 12

Question 3 :
Find all complex numbers $z$ which satisfy the following equation<br>$z=-\bar { z }$<br>

Question 5 :
If $x + i y = \dfrac{3}{2 + cos \theta + i sin \theta}$, then $x^2 + y^2$ is equal to

Question 6 :
For any three complex numbers&#160;${{\text{z}}_{\text{1}}}{\text{,}}{{\text{z}}_{{\text{2}}\;}}{\text{and}}\;{{\text{z}}_{\text{3}}}{\text{.}}\;$ <br> ${{\text{z}}_{\text{1}}}{\text{Im}}\left( {{{\overline {\text{z}} }_{\text{2}}}{{\text{z}}_{\text{3}}}} \right){\text{ + }}{{\text{z}}_{\text{2}}}{\text{Im}}\left( {{{\overline {\text{z}} }_{\text{3}}}{{\text{z}}_{\text{1}}}} \right){\text{ + }}{{\text{z}}_{\text{3}}}{\text{Im}}\left( {{{\overline {\text{z}} }_{\text{1}}}{{\text{z}}_{\text{2}}}} \right){\text{is}}$:

Question 7 :
Add and express in the form of a complex number $a+bi$<br/>$(2+3i)+(-4+5i)-\dfrac {(9-3i)}{3}$

Question 10 :
The value of $4\cos^{2} \dfrac {\pi}{3} + \sec^{2} \dfrac {\pi}{6} - \sin^{2} \dfrac {\pi}{4}$ is

Question 11 :
The value of $\displaystyle 108 ^{\circ}$ in circular measure is ____

Question 13 :
If the angles of a triangle are in arithmetic progression such that $\sin (2A + B) =\dfrac 12$, then