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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
Options:
A .  A ∩ B = A
B .  A ∩ B = B
C .  A ∩ B = ∅
D .  None of these
Answer: Option C
:
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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