Embibe Experts Solutions for Exercise 1: EXERCISE 2.1

If $\left(x+1,y-2\right)=\left(3,1\right)$ then $x$ and $y$ are

If $A\times B=\left\{\left(1,3\right),\left(1,4\right),\left(2,3\right),\left(2,4\right)\right\}$. Then

If $n\left(A\right)$ denotes the number of elements in set $A$, and if $n\left(A\right)=4,n\left(B\right)=5$ and $n\left(A\cap B\right)=3$ then $n\left[\left(A\times B\right)\cap \left(B\times A\right)\right]=$

If $(1, 3), (2, 5)$ and $(3, 3)$ are three elements of $A\times B$ and the total number of elements in $A\times B$ is $6,$ then the remaining elements of $A\times B$ are

The relation $R$ defined on the set of natural numbers as $\left\{\left(a,b\right):a-b=3\right\}$, is given by

Let $A=\left\{1,2,3,4,5\right\} ; B=\left\{2,3,6,7\right\},$ Then the number of elements in $\left(A\times B\right)\cap \left(B\times A\right)$ is

Let $X=\left\{1,2,3,4,5\right\}$ and $Y=\left\{1,3,5,7,9\right\}$. Which of the following is relations from $X$ to $Y$

If $P=\left\{2,3\right\}$, then $P\times P$ is equal to