Let A be a non-empty set such that A&nbs

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Target Exam

CUET

Subject

Mathematics

Chapter

Relations and Functions

Question:

Let A be a non-empty set such that A × A has 9 elements among which are found (-1, 0) and (0, 1). Then,

Options:

A = {-1, 0}

A = {0, 1}

A = {-1, 0, 1}

A = {-1, 1}

Correct Answer:

A = {-1, 0, 1}

Explanation:

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}.