If , (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
SSC CGL - 20 Aug 2021 - Shift 2 • Quantitative Aptitude • Q70
If , (x, y ≠ 0) then the value of (x - y)?
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