jee-main 2022 Q71

jee-main · India · session1_27jun_shift2 Differentiation from First Principles
$f ( x ) = \left| \begin{array} { c c c } a & - 1 & 0 \\ a x & a & - 1 \\ a x ^ { 2 } & a x & a \end{array} \right| , a \in R$. Then the sum of the squares of all the values of $a$ for $2 f ^ { \prime } ( 10 ) - f ^ { \prime } ( 5 ) + 100 = 0$ is
(1) 117
(2) 106
(3) 125
(4) 136 
$f ( x ) = \left| \begin{array} { c c c } a & - 1 & 0 \\ a x & a & - 1 \\ a x ^ { 2 } & a x & a \end{array} \right| , a \in R$. Then the sum of the squares of all the values of $a$ for $2 f ^ { \prime } ( 10 ) - f ^ { \prime } ( 5 ) + 100 = 0$ is\\
(1) 117\\
(2) 106\\
(3) 125\\
(4) 136
Paper Questions
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