jee-main 2024 Q64

jee-main · India · session2_09apr_shift2 Generalised Binomial Theorem
The sum of the coefficient of $x ^ { 2 / 3 }$ and $x ^ { - 2 / 5 }$ in the binomial expansion of $\left( x ^ { 2 / 3 } + \frac { 1 } { 2 } x ^ { - 2 / 5 } \right) ^ { 9 }$ is
(1) $21/4$
(2) $63/16$
(3) $19/4$
(4) $69/16$
The sum of the coefficient of $x ^ { 2 / 3 }$ and $x ^ { - 2 / 5 }$ in the binomial expansion of $\left( x ^ { 2 / 3 } + \frac { 1 } { 2 } x ^ { - 2 / 5 } \right) ^ { 9 }$ is\\
(1) $21/4$\\
(2) $63/16$\\
(3) $19/4$\\
(4) $69/16$