Question:medium
Let $f(x)$ and $g(x)$ be two differentiable functions such that $f'(x)=g(x)$ and $g'(x)=-f(x)$. Let $h(x)=(f(x))^2+(g(x))^2$ and $h(3)=100$. Then $h(100)$ is equal to
Let $f(x)$ and $g(x)$ be two differentiable functions such that $f'(x)=g(x)$ and $g'(x)=-f(x)$. Let $h(x)=(f(x))^2+(g(x))^2$ and $h(3)=100$. Then $h(100)$ is equal to
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If derivative is zero, function is constant.
Updated On: Apr 24, 2026
- $100$
- $10$
- $50$
- $200$
- $300$
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The Correct Option is A
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