ABC26GN2989 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

If $x^{2}+4 y^{2}=4 x y$, then $x: y$ is

(a)1 : 1

(b)1 : 2

(c)2 : 1

(d)1 : 4

Answer

Answer (as printed): C

Explanation

$x^{2}+4 y^{2}=4 x y \Rightarrow x^{2}-4 x y+4 y^{2}=0 \Rightarrow(x-2 y)^{2}=0 \Rightarrow x$ $$=2 y \Rightarrow \frac{x}{y}=2 \Rightarrow x: y=2: 1 .$$

Explanation as extracted from the printed page; notation may be imperfect.

Open in whiteboard · Browse this chapter in the app