Correct Answer - Option 1 : A ∩ B = ϕ
Concept:
Set theory:
- A ∪ B means set of all the values in the set A and B.
- A ∩ B is the set of common elements of A and B.
Calculation:
Given sets:
A = {(x, y)|y = 1 / x, 0 ≠ x ∈ R} and B = {(x, y)|y = -x ∈ R}
For any value of x ∈ R and x ≠ 0;
In set A element will be (x, 1/x); and in set B will be (x, - x)
For A ∩ B;
\(\rm \frac{1}{x} = -x\)
⇒ x2 = -1
which is not possible for any x ∈ R
∴ A ∩ B = ϕ