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Suppose that the equation f(x)=x^(2)+bx...

Suppose that the equation `f(x)=x^(2)+bx +c=0` has two distinct real roots `alpha and beta`. The angle between the tangent to the curve `y=f(x)` at the point `((alpha+beta)/(2), f((alpha+beta)/(2)))` and the positive direction of the x-axis is

A

`0^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

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