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Let f(0)=0,f((pi)/(2))=1,f((3pi)/(2))=-1...

Let `f(0)=0,f((pi)/(2))=1,f((3pi)/(2))=-1` be a continuos and twice differentiable function.
Statement I `|f''(x)|le1` for atleast one `x in (0,(3pi)/(2))` because
Statement II According to Rolle's theorem, if y=g(x) is
continuos and differentiable, `AAx in [a,b]andg(a)=g(b),`
then there exists atleast one such that g'(c)=0.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

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The correct Answer is:
A
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