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For every pair of continuous functions f...

For every pair of continuous functions `f,g:[0,1]->R` such that `max{f(x):x in [0,1]}= max{g(x):x in[0,1]}` then which are the correct statements

A

`[f(c)]^(2) + 3f(c) = [g(c)]^(2) + 3 g(c)"for some c" in [0, 1]1`

B

`[f(c)]^(2) + f(c) = [g(c)]^(2) + 3g(c)"for some c" in [0, 1]`

C

`[f(c)]^(2) + 3f(c) = [g(c)]^(2) + g(c)"for some c" in [0, 1]`

D

`[f(c)]^(2) = [g(c)]^(2)"for some c" in [0, 1]`

Text Solution

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The correct Answer is:
A, D
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