Let f(x)=x and g(x)=|x| for all x R. Then the function (x) satisfying (x)-f(x) ^2+ (x)-g(x) ^2=0 is

JEE Main Mathematics question

Let and for all . Then the function satisfying is

Answer: (A)

A sum of two squares is zero only when each square is zero. So we need AND

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Question ID VK-007572