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JEE-Mains 2014 (7/30)

Algebra Level 4

If the coefficients of $x^3$ and $x^4$ in the expansion of $(1+ax+bx^2)(1-2x)^{18}$ in the powers of $x$ are both zero, what is $(a,b)$ ?

\left(14,\frac{251}{3}\right)

\left(14,\frac{272}{3}\right)

\left(16,\frac{272}{3}\right)

\left(16,\frac{251}{3}\right)

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by Sandeep Bhardwaj

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