If a and b be the coefficients of x 4 and x 2 respectively in the expansion of ( ) ( ) 6 6 2 2 xx xx + – +- – 1 1 , then:

Question:

If $\alpha$ and $\beta$ be the coefficients of $x^{4}$ and $x^{2}$ respectively in the expansion of

$$

\left(x+\sqrt{x^{2}-1}\right)^{6}+\left(x-\sqrt{x^{2}-1}\right)^{6} \text {, then: }

$$

  1. $\alpha+\beta=60$

  2. $\alpha+\beta=-30$

  3. $\alpha-\beta=60$

  4. $\alpha-\beta=-132$


Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year Jan. 8, 2020(II)

Solution:

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