Question 2 :
The value of $\displaystyle \left ( \frac{1-i}{1+i} \right )^{10}+\left ( \frac{1+i}{1-i} \right )^8=$
Question 3 :
Two complex numbers are represented by ordered pairs $z_1: (2,4)\ \&\ z_2: (-4,5)$, which of the following is real part for $z_1\times z_2=$?
Question 5 :
Find all complex numbers $z$ which satisfy the following equation<br>$z=-\bar { z }$<br>
Question 8 :
The complex number system, denoted by $C$, is the set of all ordered pairs of real numbers (that is, $R \times R$) with the operations of addition (denoted by $+$) which satisfy
Question 9 :
The complex number $e^{i\theta }$ can be expressed in vector form by
Question 12 :
The value of ${\left( {1 + i} \right)^5} \times {\left( {1 - i} \right)^5}$ is
Question 14 :
A complex number is represented by an ordered pair $z: (3,4)$, which of the following is true for $z$?
Question 16 :
The locus of complex number z such that z is purely real and real part is equal to - 2 is
Question 17 :
Two complex numbers are represented by ordered pairs $z_1: a+ib\ \&\ z_2: c+id $, which of the following is correct representation for $z_1- z_2=$?
Question 19 :
Which of the the following is correct representation of the complex number: $(a,b)$
Question 20 :
The argument of $\displaystyle \frac{(1 - i \sqrt 3)}{(1 + i \sqrt 3)}$ is
Question 21 :
Evaluate $8 \sqrt{3} \, \text{cosec}^2 30^o \, \sin \, 60^o \, \cos \, 60^o \, \cos^2 45^o \, \sin \, 45^o \, \tan \, 30^o \, \text{cosec}^3 45^o$
Question 25 :
The value of $4\cos^{2} \dfrac {\pi}{3} + \sec^{2} \dfrac {\pi}{6} - \sin^{2} \dfrac {\pi}{4}$ is
Question 32 :
Express in Degrees:<br/>$(a) \displaystyle \left ( \frac{2 \pi}{15} \right )^{c}$ <br> $(b) \displaystyle (-2)^{c}$
Question 33 :
The value of $\cot 15^{\circ} \cot 20^{\circ} \cot 70^{\circ} \cot 75^{\circ}$ is equal to
Question 34 :
If $ \displaystyle \sin \Theta +\cos \Theta =\sqrt{2,} and \Theta $ is actual , then $ \displaystyle \tan \Theta $ is equal to
Question 35 :
Find the value of $\dfrac{sin (-660^o) tan (1050^o) sec (-420^o)}{cos (225^o ) cosec (315^o) cos(510^o)}$
Question 36 :
If $\tan \alpha  = 2$, then the value of $\dfrac{{\sin \alpha }}{{{{\sin }^3}\alpha  + {{\cos }^3}\alpha }}$ is
Question 37 :
In $\sin \theta  = \dfrac{{ - 1}}{{\sqrt 2 }}\& \;\tan \;\theta $ lies in which quadrant?
Question 38 :
If tan A = 4 /3, tanB = 1/ 7,then A - B =
Question 39 :
The value of ${\cos ^2}{45^ \circ } - {\sin ^2}{15^ \circ }$ is
Question 40 :
If $\displaystyle \sin B=\frac{1}{2}$ what is the value of $\displaystyle 3\cos B-4\cos ^{3}B?$
