The cartesian product A × A has 9 elements among which two elements are found (?1, 0) and (0, 1), then set A = ?

Question

The cartesian product $A \times A$ has 9 elements among which two elements are found (−1, 0) and (0, 1), then set A = ?

Smart Achievers · Accepted Answer

(2)

$∵$ $A \times A has 9 elements$

$∴$ $Set A has exactly 3 elements.$

$Also (- 1, 0), (0, 1) \in A \times A \Rightarrow - 1, 0, 1 \in A$

$∴$ $A = {- 1, 0, 1}$

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