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JEE Previous Year Question

$The sum of the coefficients in the expansion of (1 + \frac{x}{2})^{12} is$

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

A $0$
B $2^{11}$
C $(\frac{3}{2})^{12}$
D $2^{12}$

Correct answer: C

Solution

(c) Sum of coefficient in the expansion of (1 + \frac{x}{2})^{12} = (1 + \frac{1}{2})^{12} = (\frac{3}{2})^{12} [Put variable = 1] [sum of coefficients in the expansion of (1 + x)^{n} = 2^{n} which can be obtained by putting x = 1]

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