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$\frac{1}{2018}$
- B1
- Correct answerC2018
- D$2018^2$
Hence, the correct answer is option: 'C'.