[JEE Advanced 1983] the coefficient of x 4 in x2 3 x 2 10 is
The coefficient of $x^4$ in $\left(\dfrac x2-\dfrac3{x^2}\right)^{10}$ is
(a) $\dfrac{405}{256}$
(b) $\dfrac{504}{259}$
(c) $\dfrac{450}{460}$
(d) none of these
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (a) $\dfrac{405}{256}$
Power $10-3k=4\Rightarrow k=2$; coefficient $\binom{10}2\left(\frac12\right)^8(-3)^2=\frac{405}{256}$.
JEE Advanced 1983 · Binomial Theorem — verified solution by the Vidaara Team.
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