JEE PYQ: Binomial Theorem Question 32
Question 32 - 2020 (08 Jan Shift 2)
If $\alpha$ and $\beta$ be the coefficients of $x^4$ and $x^2$ respectively in the expansion of $\left(x + \sqrt{x^2 - 1}\right)^6 + \left(x - \sqrt{x^2 - 1}\right)^6$, then:
(1) $\alpha + \beta = 60$ (2) $\alpha + \beta = -30$ (3) $\alpha - \beta = 60$ (4) $\alpha - \beta = -132$
Show Answer
Answer: (4)
Solution
$\alpha = -96, \beta = 36$. $\alpha - \beta = -132$.
BETA
