SSC CGL 2021 PYQ — Question 70

SSC CGL - 20 Aug 2021 - Shift 2 • Quantitative Aptitude • Q70

If xy+yx=2\frac{x}{y}+\frac{y}{x}=2, (x, y ≠ 0) then the value of (x - y)?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 0.

⇒ x/y + y/x = 2

⇒ x2 + y2 = 2xy

⇒ x2 + y2 - 2xy = 0

⇒ (x - y)2 = 0

⇒ x - y = 0