Question 1 :
If $A=\left\{ 1,2,3 \right\} $, then a relation $R=\left\{ \left( 2,3 \right) \right\} $ on $A$ is
Question 2 :
The relation $R=\left\{ \left( 1,1 \right) ,\left( 2,2 \right) \left( 3,3 \right)  \right\} $ on the set $A=\left\{ 1,2,3 \right\} $ is
Question 4 :
The relation $R$ on the set $Z$ of all integer numbers defined by $(x,y)\ \epsilon \ R\\Leftrightarrow x-y$ is divisible by $n$ is
Question 5 :
Let $f(x,y)=xy^{2}$ if $x$ and $y$ satisfy $x^{2}+y^{2}=9$ then the minimum value of $f(x,y)$ is
Question 6 :
Let E = {1, 2, 3, 4} and F {1, 2}. Then the number of onto functions from E to F is
Question 7 :
Let $f:R\rightarrow R$ be defined as $f(x)=x^{3}+2x^{2}+4x+\sin \left(\dfrac{\pi}{2}\right)$ and $g(x)$ be the inverse function of $f(x)$, then $g'(8)$ is equal to
Question 8 :
Let N denote the set of all natural numbers and R a relation on $N\times N$. Which of the following is an equivalence relation?
Question 9 :
If $R$ is the largest equivalence relation on a set $A$ and $S$ is any relation on $A$, then
Question 10 :
The number of reflexive relation in set A = {a, b, c} is equal to