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If alpha, beta are roots of the equatio...

If `alpha, beta` are roots of the equation `x^(2) + ax + b = 0`, then maximum value of `- x^(2) + ax + b + (1)/(4) (alpha - beta )^(2) ` is

A

`(1)/(4) (a^(2) - 4b)`

B

`(1)/(4) (b^(2) - 4a)`

C

`(a^(2))/(2)`

D

none of these

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The correct Answer is:
A
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