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Q.

Let $f$ and $g$ be two real valued functions and $S$ $= {x ∣ f (x) = 0}$ and $T = {x ∣ g (x) = 0}, then S \cap T$ represent the set of roots of

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a

$f (x) g (x) = 0$

b

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

c

$f (x) + g (x) = 0$

d

$\frac{f (x)}{g (x)} = 0$

answer is B.

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Detailed Solution

$f (x)^{2} + g (x)^{2} = 0 \Leftrightarrow f (x) = 0 and g (x) = 0$

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Let f and g be two real valued functions and S ={x∣f(x)=0} and T={x∣g(x)=0}, then S∩T represent the set of roots of