Passage Let \( f(x)=a x^{2}+b x+c ; a, b, c \in R \) It is given \( |f(x)| \leq 1, \forall|x| \l....

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Passage
\( \mathrm{P} \)
Let \( f(x)=a x^{2}+b x+c ; a, b, c \in R \)
W
It is given \( |f(x)| \leq 1, \forall|x| \leq 1 \)
Now, answer the following questions.
The possible value of \( |a+b| \), if \( \frac{8}{3} a^{2}+2 b^{2} \) is maximum, is given by
(1) 1
(2) 0
(3) 2
(4) 3


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