Let $f\left( x \right)$ be a polynomial function of second degree. If $f\left( 1 \right) = f\left( { - 1} \right)$ and $a,b,c$ are in $A.P, $ then $f'\left( a \right),f'\left( b \right),f'\left( c \right)$ are in
Arithmetic -Geometric Progression
$A.P$
$G.P$
$H.P$
Solution
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