For r>1,n>2, if the coefficients of the (r+2)th and (3r)th terms in (1+x)²ⁿ are equal, then n equals (a) 3r (b) 3r+1 (c) 2r (d) 2r+1

Correct answer: (c) 2r 2n r+1 = 2n 3r-1 →(r+1)+(3r-1)=2n→ n=2r. JEE Main 2002 · Binomial Theorem — verified solution by the Vidaara Team.

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[JEE Main 2002] for r 1 n 2 if the coefficients of the r 2 th and

VAVidaara Admin Asked 2d ago 0 views 1 answer

For $r>1,n>2$, if the coefficients of the $(r+2)$th and $(3r)$th terms in $(1+x)^{2n}$ are equal, then $n$ equals

(a) $3r$
(b) $3r+1$
(c) $2r$
(d) $2r+1$

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

Correct answer: (c) $2r$

$\binom{2n}{r+1}=\binom{2n}{3r-1}\Rightarrow(r+1)+(3r-1)=2n\Rightarrow n=2r$.

JEE Main 2002 · Binomial Theorem — verified solution by the Vidaara Team.

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