Let A be a non-empty set such that A × A has 9 elements among which are found (-1, 0) and (0, 1). Then,
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A = {-1, 0, 1}
We have,
$(-1, 0) ∈ A × A$ and $(0, 1) ∈ A × A ⇒ -1, 0, 1 ∈ A$
But, A × A has 9 elements. Therefore, A has 3 elements.
Hence, A = {-1, 0, 1}.