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Let f(x) = ax^2 + bx +C,a,b,c in R.It ...

Let `f(x) = ax^2 + bx +C,a,b,c in R`.It is given `|f(x)|<=1,|x|<=1` The possible value of `|a + c|` ,if `8/3a^2+2b^2` is maximum, is given by

A

1

B

0

C

2

D

3

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  • Let f(x) = ax^(2) + bx + c, a, b, c, in R and equation f(x) - x = 0 has imaginary roots alpha, beta . If r, s be the roots of f(f(x)) - x = 0 , then |(2,alpha,delta),(beta,0,alpha),(gamma,beta,1)| is

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