Mathematics · 2018
JEE Main · 15 April 2018, Shift 1 · Q67
If n is the degree of the polynomial, [2/(√(5 x^3+1)-√(5 x^3-1))]^8+ [2/(√(5 x^3+1)+√(5 x^3-1))]^8 and m is the coefficient of x^n in it, then the…
If n is the degree of the polynomial,
$$\left[\frac{2}{\sqrt{5 x^3+1}-\sqrt{5 x^3-1}}\right]^8+
$$
$\displaystyle \left[\frac{2}{\sqrt{5 x^3+1}+\sqrt{5 x^3-1}}\right]^8$ and m is the coefficient of $\displaystyle x^{\mathrm{n}}$ in it, then the ordered pair (n, m) is equal to :
Official answer
(3)
($\displaystyle 12$, ($\displaystyle 20$) $\displaystyle { }^4$ )
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.