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If x=-1 and x = 2 are extreme points of ...

If `x=-1` and x = 2 are extreme points of `f(x)=alphalog|x|+betax^(2)+x` then-

A

`alpha=-6,beta=(1)/(2)`

B

`alpha=-6,beta=-(1)/(2)`

C

`alpha=2,beta=-(1)/(2)`

D

`alpha=2,beta=(1)/(2)`

Text Solution

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The correct Answer is:
C
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