If the number of terms in the expansion of n 2 2 4 1 x x æ ö – + ç ÷ è ø , x ¹ 0, is 28, then the sum of the coefficients of all the terms in this expansion, is :

Question:

If the number of terms in the expansion of $\left(1-\frac{2}{x}+\frac{4}{x^{2}}\right)^{\mathrm{n}}$, $x \neq 0$, is 28 , then the sum of the coefficients of all the terms in this expansion, is:

  1. 243

  2. 729

  3. 64

  4. 2187


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year 2016

Solution:

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