Odisha Board Solutions for Chapter: Relations and Functions, Exercise 1: Exercises- 3(a)

Compute the product $A\times B$ when

$A=Z, B=\varphi$

If $\left|A\right|=m, \left|B\right|=n$, what can you say about:

$|A\times B|$

If $\left|A\right|=m, \left|B\right|=n$, what can you say about:

$\left|P\left(A\right)\times P\left(B\right)\right|$

Find $x,y$ if $(x,y)=(-3,2)$

Find $x,y$ if $(x+y,1)=(1,x-y)$

Find $x,y$ if $(2x+y,1)=(x,2x+3y)$

If $A\times B=B\times A$ then what can you say about $A$ and $B$ ?

$|A\times B|=6$. If $(-1, y),(1, x),(0, y)$ are in $A\times B$

Write the other elements in $A\times B$, where $x\ne \mathrm{y}$.