Let \( f(x)=a x^{2}+b x+c ; a, b, c \in R \)
It is given \( |f(x)| \leq 1, \forall|x| \leq 1 \).... VIDEO
Let \( f(x)=a x^{2}+b x+c ; a, b, c \in R \)
It is given \( |f(x)| \leq 1, \forall|x| \leq 1 \).
The possible maximum value of \( \frac{8}{3} a^{2}+2 b^{2} \) is given by
(a) 32
(b) \( \frac{32}{3} \)
(c) \( \frac{2}{3} \)
(d) \( \frac{16}{3} \)
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