Question 1 :
If $A =\{1,2,3\}$, $B=\{1,4,6,9\}$ and R is a relation from A to B defined by '$x$ is greater than $y$'. The range of R is
Question 3 :
A relation $\phi$ from $C$ to $R$ is defined by $x\phi y\Leftrightarrow \left| x \right| =y$. Which one is correct?
Question 4 :
Let $R$ be a relation from a set $A$ to a set $B$, then:
Question 5 :
Consider two sets $A=\{a, b, c\}, B=\{e, f\}$. If maximum numbers of total relations from A to B; symmetric relation from A to A and from B to B are $l, m, n$ respectively, then the value of $2l+m-n$ is
Question 6 :
If R={$(x,y)/3x+2y=15$ and x,y $\displaystyle \epsilon $ N}, the range of the relation R is________
Question 7 :
Let R be the relation in the set N given by = {(a, b): a = b - 2, b > 6}. Choose the correct answer
Question 8 :
Let R be the set of real numbers and the mapping $f:R\rightarrow R$ and $g:R\rightarrow R$ be defined by $f(x)=5-x^2$ and $g(x)=3\lambda-4$, then the value of $(fog)(-1)$ is
Question 9 :
The relation $R$ defined on the set $A=\left\{ 1,2,3,4,5 \right\} $ by $R=\left\{ \left( a,b \right) :\left| { a }^{ 2 }-{ b }^{ 2 } \right| <16 \right\} $, is not given by
Question 10 :
Let $A=\left\{ u,v,w,z \right\} ;B=\left\{ 3,5 \right\} $, then the number of relations from $A$ to $B$ is
Question 12 :
Let the number of elements of the sets $A$ and $B$ be $p$ and $q$ respectively. Then, the number of relations from the set $A$ to the set $B$ is
Question 13 :
Let $R$ be a relation on $N$ defined by $x+2y=8$. The domain of $R$ is
Question 14 :
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 15 :
Let R be a relation from a set A to a set B then