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If f(0)=f(1)=f(2)=0 and function f (x) ...

If f(0)=f(1)=f(2)=0 and function f (x) is twice differentiable in (0, 2) and continuous in [0, 2]. Then, which of the following is(are) true ?

A

`f'' (c)=0, AA c x in (0,2)`

B

`f(x)=," for atleast two "c in (0,2)`

C

f'(c)=0, for exactly one `c in (0,2)`

D

f''(c)=0, for atleast one `c in (0,2)`

Text Solution

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The correct Answer is:
B, D
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