Offline paper
Mathematics · 2014
JEE Main 2014 · 2014-04-06 Offline · Q67
If the coefficients of x^3 and x^4 in the expansion of (1+ a x+ b x^2)(1-2 x)^18 in powers of x are both zero, then (a, b) is equal to:
If the coefficients of $\displaystyle x^3$ and $\displaystyle x^4$ in the expansion of $\displaystyle \left(1+\mathrm{a} x+\mathrm{b} x^2\right)(1-2 x)^{18}$ in powers of $\displaystyle x$ are both zero, then (a, b) is equal to :
Official answer
(2)
$\displaystyle \left(16, \frac{272}{3}\right)$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.