Q34 / 59 · NEST (NISER) 2018 · Mathematics

Let $f, g: \mathbb{R} \rightarrow \mathbb{R}$ be such that $f^{\prime}(x)=g(x)$ and $g^{\prime}(x)=-f(x)$. Let $h(x)=$ $f^2(x)+g^2(x)$. If $h(1)=2018$ then $h(2018)$ is

  • A
    $\frac{1}{2018}$
  • B
    1
  • Correct answer
    C
    2018
  • D
    $2018^2$

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

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