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JEE Advanced Model Paper 11 with solutions for online practice

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Question : 57

Total: 60

Let F : [0,

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

) = 1 , then

f'(α) = √1−(f(α))2 for all α ∊ (0,
π
2
)
f'(α) =
2
π
for all α ε (0,
π
2
)
f (α) f'(α) =
1
π
for at least one α ∊ (0,
π
2
)
f'(α) =
8α
π2
for at least one α ∊ (0,
π
2
)

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