If f^{' '}(x)=-f(x), where f(x) is a continuous double differentiable function and g(x)=f^{'}(x). If F(x)=[f(\frac{x}{2})]^{2}+[8(\frac{x}{2})]^{2} and F(5)=5, then F(10) is [JEE Adv 2006 P1]

IIT JEE Advanced 2006 Paper 1

Section: Mathematics

Question : 87 of 120

Marks: +1, -0

If f′′(x)=−f(x), where f(x) is a continuous double differentiable function and g(x)=f′(x).
If F(x)=[f(‌

)]2+[8(‌

)]2 and F(5)=5, then F(10) is

[JEE Adv 2006 P1]

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