If the sets A and B are defined as
A = {(x, y) : y = 1x, x≠ 0 and x ∈ R}
B = {(x, y) : y = -x, x ∈ R}, then
None of these
Since,
y = 1x
y = -x
The both lines meet when -x = 1x ⇒ x2 = -1,
which does not give any real value of x.
Hence, A ∩ B = ∅.