If x + y = 12 and xy = 6, then the value of x/y + y/x is equal to :

SSC Selection Post 2024 PYQ — Question 53

If x + y = 12 and xy = 6, then the value of $\frac{x}{y} + \frac{y}{x}$ is equal to :

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 22.

x² + y² = (x + y)² - 2xy = (12)² - 2(6) = 132

x/y + y/x = (x² + y²)/(xy) = 132/6 = 22