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Question

If the sets A and B are defined as

A = {(x, y) : y = 1x, 0 ≠ x ∈ R}

B = {(x, y) : y = -x, x ∈ R}, then


A

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B

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C

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D

None of these

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Solution

The correct option is C


Since y = 1x, y = -x meet when -x = 1xx2 = -1,

which does not give any real value of x.

Hence, A ∩ B = ∅.


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