Binomial Theorem · JEE Main previous year questions

2014 1 question

1. Q222014 · 6 Apr 2014 · Shift 1

   If the coefficints of $x^3$ and $x^4$ in the expansion of $(1+ax+b{x}^2)(1-2x{)}^{18}$ in powers of $x$ are both zero, then $(a,b)$ is equal to:

   1. A.$\left(14,\frac{272}{3}\right)$
   2. B.$\left(16,\frac{272}{3}\right)$
   3. C.$\left(16,\frac{251}{3}\right)$
   4. D.$\left(14,\frac{251}{3}\right)$
   Show answer

   Answer: B