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Let f(x)=log(2x-x^2)+sin(pix)/2dot Then ...

Let `f(x)=log(2x-x^2)+sin(pix)/2dot` Then which of the following is/are true? Graph of `f` is symmetrical about the line `x=1` Maximum value of `fi s1.` Absolute minimum value of `f` does not exist. none of these

A

graph of f is symmetrical about the line x=1

B

graph of f is symmetrical about the line x=2

C

maximum value of f is 1

D

minimum value of f does not exist

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The correct Answer is:
A, C, D
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