Question: If $\alpha$ and $\beta$ be the coefficients of $x^{4}$ and $x^{2}$ respectively in the expansion of
$\left(x+\sqrt{x^{2}-1}\right)^{6}+\left(x-\sqrt{x^{2}-1}\right)^{6}$, then
$\alpha+\beta=60$
$\alpha+\beta=-30$
$\alpha-\beta=-132$
$\alpha-\beta=60$
Correct Option: , 3
Solution:
