Q61 / 180 · COMEDK 2017 · Mathematics

Which of the following is an even function?

  • A
    $\sqrt{x}$
  • Correct answer
    B
    $x^{2}+\sin ^{2} x$
  • C
    $\sin ^{3} x$
  • D
    None of these

Solution

let $f(x)=x^{2}+\sin ^{2} x$, then $f(-x)=f(x)$ Therefore, $f(x)=x^{2}+\sin ^{2} x$ is an even functions.

Hence, the correct answer is option: 'B'.

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