Question

_____ is the duplicate ratio of $\frac{x}{2}:\frac{y}{3}$

• A. $\frac{x}{4}:\frac{y}{9}$
• B. $\frac{x^2}{4}:\frac{y^2}{9}$
• C. $\frac{2}{x}:\frac{3}{y}$
• D. $\sqrt{\frac{x}{2}}:\sqrt{\frac{y}{3}}$

Answer 1

The correct option is B $\frac{x^2}{4}:\frac{y^2}{9}$

The duplicate ratio of $a:b$ is $b:a$
$\therefore$ The duplicate ratio of $\frac{x}{2}:\frac{y}{3}$ is ${\left(\frac{x}{2}\right)}^2:{\left(\frac{y}{3}\right)}^2=\frac{x^2}{4}:\frac{y^2}{9}$