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Question:-The Cartesian product Z × Z has 9 elements among which are found (-2, 0) and (0, 2). Find the set Z and also the remaining elements of Z × Z.

Answer»

Hey there!!!!

If N(M) = p and n(N) = q

then n(M × N) = pq.

Now,

n (Z × Z) = n(Z) × n(Z)

But, it is given that, n(Z × Z) = 9

Therefore, n(Z) × n(Z) = 9

n(Z) = 3



Hope it HELPS you☺


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