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Let f(x) = x2 + b1x + c1 , g(x) = x2 + b2x + c2α , β be real roots of f(x) = 0 and α  + δ ,  β + δ be real roots of g(x) = 0, minimum value of y = f(x) be - 1/4 and minimum value of y = g(x) occurs at x = 7/2.

Minimum value of y = g(x) is

(A)   -1

(B)  -1/2

(C)  -1/4

(D)  -1/3

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Correct option  (C)  -1/4


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