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Let f(x) is a quadratic expression with...

Let `f(x)` is a quadratic expression with positive integral coefficients such that for every `alpha, beta in R, beta lt alpha,int_alpha^beta f(x) dx lt 0`. Let `g(t) = f''(t) f(t), and g(0) = 12`, then

A

16 such quadratic expressions are possible

B

f(x) = 0 has either no real root or distinct roots

C

minimum value of f(1) is 6

D

maximum value of f(1) is 11

Text Solution

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The correct Answer is:
A, C, D
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