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Let f(x)=ax^(2)+bx+c,ab,c in R. It is gi...

Let `f(x)=ax^(2)+bx+c,ab,c in R.` It is given `|f(x)|le1,|x|le1`
The possible value of `|a+c|,if(8)/(3)a^(2)+2ab^(2)` is maximum is given by

A

1

B

0

C

2

D

3

Text Solution

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The correct Answer is:
A
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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

Knowledge Check

  • If 02 le x le 2 , the maximum value of f(x)=1-x^(2) is

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    C
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