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Let f(x) satisfy the requirements of Lag...

Let `f(x)` satisfy the requirements of Lagrange's mean value theorem in [0,1], f(0) = 0 and `f'(x)le1-x, AA x in (0,1)` then

A

`f(x)gex`

B

`|f(x)|ge1`

C

`f(x)le x (1-x)`

D

`f(x)le 1//4`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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