Question

If the sets A and B are defined as

A = {(x, y) : $y=\frac{1}{x}$, 0 ≠ x ∈ R}

B = {(x, y) : y = -x, x ∈ R}, then

• A.
• B.
• C.
• D. None of these

Answer 1

The correct option is C

Since $y=\frac{1}{x}$, y = -x meet when $-x=\frac{1}{x}$ ⇒ $x^2$ = -1,

which does not give any real value of x.

Hence, A ∩ B = ∅.