jee-main 2021 Q63

jee-main · India · session3_25jul_shift2 Binomial Theorem (positive integer n) Find a Specific Coefficient in a Single Binomial Expansion

If the greatest value of the term independent of $x$ in the expansion of $\left( x \sin \alpha + a \frac { \cos \alpha } { x } \right) ^ { 10 }$ is $\frac { 10 ! } { ( 5 ! ) ^ { 2 } }$, then the value of $a$ is equal to:
(1) - 1
(2) 1
(3) - 2
(4) 2

If the greatest value of the term independent of $x$ in the expansion of $\left( x \sin \alpha + a \frac { \cos \alpha } { x } \right) ^ { 10 }$ is $\frac { 10 ! } { ( 5 ! ) ^ { 2 } }$, then the value of $a$ is equal to:\\
(1) - 1\\
(2) 1\\
(3) - 2\\
(4) 2

Paper Questions

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