Mathematics · 2019
JEE Main · 10 April 2019, Shift 1 · Q69
If the coefficients of x^2 and x^3 are both zero, in the expansion of the expression (1+ a x+ b x^2)(1-3 x)^15 in powers of x, then the ordered pair…
If the coefficients of $\displaystyle x^2$ and $\displaystyle x^3$ are both zero, in the expansion of the expression $\displaystyle \left(1+\mathrm{a} x+\mathrm{b} x^2\right)(1-3 x)^{15}$ in powers of $\displaystyle x$, then the ordered pair $\displaystyle (\mathrm{a}, \mathrm{b})$ is equal to :
Official answer
(4)
$\displaystyle (28,315)$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.