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
None of these
Since y = 1x, y = -x meet when -x = 1x ⇒ x2 = -1,
which does not give any real value of x.
Hence, A ∩ B = ∅.