Class 11

Math

Co-ordinate Geometry

Sets

From the sets given below, select equal set:

$A={2,4,8,12},$

$B={1,2,3,4},$

$C={4,8,12,14},$

$D={3,1,4,2}$

$E={−1,1},$

$F={0,a},$

$G={−1,1},$

$H={0,1}$

$n(A)=4$

$B={1,2,3,4}$

$n(B)=4$

$C={4,8,12,14}$

$n(C)=4$

$D={3,1,4,2}$

$n(D)=4$

$E={−1,1}$

$n(E)=2$

$F={0,a}$

$n(F)=2$

$G={1,−1}$

$n(G)=2$

$H={0,1}$

$n(H)=2$

Number of elements in A,B,C,D are same i.e. all have $4$ elements. So ,they are comparable.

Now, we see B and D has same elements.

So, B and D are equal sets.

Similarly, E,F,G, H are comparable as they all have same number of elements i.e. $2$.

Clearly , E and G has same elements.

So, E and G are equal sets.