Question

The $(m+1{)}^{th}$ term of $(\frac{x}{y}+\frac{y}{x}{)}^{2m+1}$ depends on -

• A. Independent of x
• B. Constant
• C. Independent of y
• D. Depends on x,y and m

Answer 1

The correct option is D

Depends on x,y and m

$T_{m+1}={}^{2m+1}{C}_m\left(\frac{x}{y}{)}^{2m+1-m}\right(\frac{y}{x}{)}^m$
$={}^{2m+1}{C}_m\left(\frac{x}{y}{)}^{m+1}\right(\frac{y}{x}{)}^m$
$={}^{2m+1}{C}_m\left(\frac{x}{y}\right)$
$\Rightarrow$ Depends on x,y and m