[JEE Main 2006] if 1 y m 1 y n 1 a 1y a 2y 2 with
If $(1-y)^m(1+y)^n=1+a_1y+a_2y^2+\cdots$ with $a_1=a_2=10$, then $(m,n)$ is
(a) $(20,45)$
(b) $(35,20)$
(c) $(45,35)$
(d) $(35,45)$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 4d ago
▲ 0
Correct answer: (d) $(35,45)$
$a_1=n-m=10$ and $a_2=\frac{(m-n)^2-(m+n)}2=10\Rightarrow m+n=80$, giving $m=35,n=45$.
JEE Main 2006 · Binomial Theorem — verified solution by the Vidaara Team.
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