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Let f(x): [0, 2] to R be a twice differ...

Let `f(x): [0, 2] to R` be a twice differenctiable function such that `f''(x) gt 0`, for all `x in (0, 2)`. If `phi (x) = f(x) + f(2-x)`, then `phi` is

A

Decreasing on (0, 1) and increasing on (1, 2)

B

Increasing on (0, 2)

C

Increasing on (0, 1) and decreasing on (1, 2)

D

Decreasing on (0, 2)

Text Solution

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The correct Answer is:
A
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