Question

Let A be a non-empty set such that A $\times$ A has 9 elements among which are found (-1,0) and (0,1), then

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

We have (-1,0)$\in$ A$\times$A and (0,1)$\in$A$\times$A $\Rightarrow$ -1,0,1 $\in$ A

But A$\times$A has 9 elements. Therefore, A has 3 elements. Hence A={-1,0,1}