[JEE Main 2013] The term independent of $x$ in $\left[\dfrac{x+1}{x^{2/3}-x^{1/3}+1}-\dfrac{x-1}{x-\sqrt x}\right]^{10}$ is
The term independent of $x$ in $\left[\dfrac{x+1}{x^{2/3}-x^{1/3}+1}-\dfrac{x-1}{x-\sqrt x}\right]^{10}$ is
(a) $4$
(b) $120$
(c) $210$
(d) $310$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
▲ 0
Correct answer: (c) $210$
The bracket simplifies to $x^{1/3}-x^{-1/2}$; the term with exponent $0$ occurs at $k=4$: $\binom{10}4=210$.
JEE Main 2013 · Binomial Theorem — verified solution by the Vidaara Team.
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