jee-main 2015 Q68

jee-main · India · 04apr Generalised Binomial Theorem

The sum of coefficients of integral powers of $x$ in the binomial expansion of $( 1 - 2 \sqrt { x } ) ^ { 50 }$ is
(1) $\frac { 1 } { 2 } \left( 2 ^ { 50 } + 1 \right)$
(2) $\frac { 1 } { 2 } \left( 3 ^ { 50 } + 1 \right)$
(3) $\frac { 1 } { 2 } \left( 3 ^ { 50 } \right)$
(4) $\frac { 1 } { 2 } \left( 3 ^ { 50 } - 1 \right)$

The sum of coefficients of integral powers of $x$ in the binomial expansion of $( 1 - 2 \sqrt { x } ) ^ { 50 }$ is\\
(1) $\frac { 1 } { 2 } \left( 2 ^ { 50 } + 1 \right)$\\
(2) $\frac { 1 } { 2 } \left( 3 ^ { 50 } + 1 \right)$\\
(3) $\frac { 1 } { 2 } \left( 3 ^ { 50 } \right)$\\
(4) $\frac { 1 } { 2 } \left( 3 ^ { 50 } - 1 \right)$

Paper Questions

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