Mathematics · 2020
JEE Main · 8 January 2020, Shift 2 · Q56
If α and β be the coefficients of x^4 and x^2 respectively in the expansion of (x+√(x^2-1))^6+(x-√(x^2-1))^6, then:
If $\displaystyle \alpha$ and $\displaystyle \beta$ be the coefficients of $\displaystyle x^4$ and $\displaystyle x^2$ respectively in the expansion of
$\displaystyle \left(x+\sqrt{x^2-1}\right)^6+\left(x-\sqrt{x^2-1}\right)^6$, then :
Official answer
(2)
$\displaystyle \alpha-\beta=-132$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.