Question

Which of the following is equivalent to $\frac{1}{\frac{x}{y}+\frac{y}{x}}$

• A. $\frac{xy}{x^2+y^2}$
• B. $\frac{x^2+y^2}{xy}$
• C. $\frac{x^2+y^2}{2xy}$
• D. $\frac{xy}{x+y}$
• E. $\frac{(x+y{)}^2}{x^2+y^2}$

Answer 1

The correct option is A $\frac{xy}{x^2+y^2}$

The value of $\frac{1}{\frac{x}{y}+\frac{y}{x}}$

$=\frac{1}{\frac{x^2+y^2}{xy}}$

$=\frac{xy}{x^2+y^2}$