jee-main 2025 Q64

jee-main · India · session2_08apr_shift2 Generalised Binomial Theorem
Q64. 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) $69 / 16$
Q64. 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) $69 / 16$