Question 1 :
If $R$ is a relation on the set $A=\left\{ 1,2,3,4,5,6,7,8,9 \right\} $ given by $xRy\Leftrightarrow y=3x$, then $R=$
Question 2 :
If $A$ and $B$ are two sets containing four and two elements, respectively. Then the number of subsets of the set $A\times B$ each having at least three elements is
Question 3 :
Let $A = \left \{x, y, z\right \}$ and $B = \left \{p, q, r, s\right \}$. What is the number of distinct relations from $B$ to $A$?
Question 5 :
If $A=\left\{ 1,2,3 \right\} , B=\left\{ 1,4,6,9 \right\} $ and $R$ is a relation from $A$ to $B$ defined by $x$ is greater than $y$. The range of $R$ is
Question 6 :
State the whether given statement is true or falseIf $A$ is any set, prove that: $A\subseteq \phi \Leftrightarrow A=\phi $.
Question 7 :
Is the set $H = \{t | t$ is a triangle having four sides$\}$ empty?
Question 9 :
If $A=\left\{ 2,4\left\{ 5,6 \right\} ,8 \right\} $, then which one of the following statements is not correct?
Question 10 :
State whether the following statement is True or False<br/>If $U=\left\{1,2,3,4,5,6,7\right\}$ and $A=\left\{5,6,7\right\}$, then $U$ is the subset of $A$.
Question 11 :
If $u = 3 - 5i$ and $v = -6 + i$, then the value of $(u+v)^2$ is
Question 12 :
The value of $\displaystyle \left ( \frac{1-i}{1+i} \right )^{10}+\left ( \frac{1+i}{1-i} \right )^8=$
Question 24 :
The value of the limit $\displaystyle\lim _{ x\rightarrow 1 }{ \dfrac { \sin { \left( { e }^{ x-1 }-1 \right) } }{ \log { x } } } $ is
Question 26 :
The angle of inclination of a straight line parallel to x-axis is equal to
Question 28 :
Consider a triangle ABC, whose vertical are $A(-2,1), B(1, 3) and C(x,y)$ .If C is a moving point such that area of $\Delta ABC$ is constant,then locus of C is:
Question 29 :
Find the distance between the following pair of points.<br/>$(7, 8)$ and $(-2, -3)$
Question 30 :
Harmonic conjugate of the point $C(5, 1)$ with respect to the point $A(2, 10)$ and $B(6, -2)$ is?
