The coefficient of x –5 in the binomial expansion of 21 1 33 2 10 1 1 1 x x x x x x æ ö + – ç ÷ – è ø – + – where x ¹ 0, 1, is :

Question:

The coefficient of $x^{-5}$ in the binomial expansion of $\left(\frac{x+1}{x^{\frac{2}{3}}-x^{\frac{1}{3}}+1}-\frac{x-1}{x-x^{\frac{1}{2}}}\right)^{10}$ where $x \neq 0,1$, is :

  1. 1

  2. 4

  3. $-4$

  4. $-1$


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year Online April 9, 2017

Solution:

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