The coefficient of the middle term in (1+α x)⁴ and (1-α x)⁶ is the same if α equals (a) 35 (b) 10 3 (c) - 3 10 (d) - 53

Correct answer: (c) - 3 10 42α²= 63(-α)³→6α²=-20α³→α=- 3 10. JEE Main 2004 · Binomial Theorem — verified solution by the Vidaara Team.

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[JEE Main 2004] the coefficient of the middle term in 1 alpha x 4 and 1 alpha

VAVidaara Admin Asked 2d ago 0 views 1 answer

The coefficient of the middle term in $(1+\alpha x)^4$ and $(1-\alpha x)^6$ is the same if $\alpha$ equals

(a) $\dfrac35$
(b) $\dfrac{10}3$
(c) $-\dfrac3{10}$
(d) $-\dfrac53$

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $-\dfrac3{10}$

$\binom42\alpha^2=\binom63(-\alpha)^3\Rightarrow6\alpha^2=-20\alpha^3\Rightarrow\alpha=-\frac3{10}$.

JEE Main 2004 · Binomial Theorem — verified solution by the Vidaara Team.

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