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Let f(x)=ax^(2)-b|x| , where a and b are...

Let `f(x)=ax^(2)-b|x|` , where a and b are constant . Then at x=0 , f(x) has

A

A maxima whenever ` a gt 0, b gt 0`

B

A maxima whenever ` a gt 0, b lt 0`

C

Minima whenever ` a gt 0 , b gt 0`

D

Neither maxima nor minima whenever ` a gt 0 , b lt 0`

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A
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