If A = [x:f(x) = 0] and B = [x:g(x) = 0], then A B will be - Vidyadip

MCQ

If $A = [x:f(x) = 0]$ and $B = [x:g(x) = 0]$, then $A \cap B$ will be

✓
${[f(x)]^2} + {[g(x)]^2} = 0$
B
$\frac{{f(x)}}{{g(x)}}$
C
$\frac{{g(x)}}{{f(x)}}$
D
None of these

✓

Answer

Correct option: A.

${[f(x)]^2} + {[g(x)]^2} = 0$

a
(a) $A \cap B = \{ x:x \in A$ and $x \in B\} $

$ = [x:f(x) = 0$ and $g(x) = 0]$ $ = {[f(x)]^2} + {[g(x)]^2} = 0$.

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