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If x2 + 4y2 = 4xy, then x : y is -
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& = {x^2} + 4{y^2} = 4xy \cr
& \Rightarrow {x^2} - 4xy + 4{y^2} = 0 \cr
& \Rightarrow \left( {x - 2{y^2}} \right) = 0 \cr
& \Rightarrow x = 2y \cr
& \Rightarrow \frac{x}{y} = 2 \cr
& \Rightarrow x:y = 2:1 \cr} $$
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