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The function f is defined by `f(x)=x^(p)(x-1)^(q)"for all "x inR,` where p,q are positive integers, has a maximum value for x equal to

A

`(pq)/(p+q)`

B

`(-1)`

C

`(1)/(2)`

D

`(p)/(p+q)`

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The correct Answer is:
D
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