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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

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A, C, D
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FIITJEE-QUADRATIC EQUATION & EXPRESSION -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II
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  11. If a, b, c are odd integers, then the roots of ax^(2)+bx+c=0, if real,...

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  15. If a,b,c,d in R and all the three roots of az^3 + bz^2 + cZ + d=0 ha...

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  16. The equation a(8)x^(8)+a(7)x(8)^(7)+a(6)x^(6)+…+a(0)=0 has all its po...

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  17. Which of the following is correct for the quadratic equation x^(2)+2(a...

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  19. If each pair of the following equations x^2+px+qr=0, x^2+qx+pr=0 and x...

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  20. If a, b, c, d are four non - zero real numbers such that (d+a-b)^(2)+(...

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