Let F : [0,\pi/2] → [0 , 1] be a differentiable function such that f (0) = 0 , f (\pi/2) = 1 , then

f'(α) = \sqrt{1-(f(\alpha))^2} for all α ∊ (0,\pi/2)

f'(α) = 2/\pi for all α ε (0,\pi/2)

f (α) f'(α) = 1/\pi for at least one α ∊ (0,\pi/2)

f'(α) = {8\alpha}/\pi^2 for at least one α ∊ (0,\pi/2)

JEE Advanced Model Paper 11 with solutions for online practice

Question : 57 of 60

Marks: +1, -0

Let F : [0,

] → [0 , 1] be a differentiable function such that f (0) = 0 , f (

) = 1 , then

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