Question:If `x^2 + 4y^2 = 4xy`, then `x : y` is : 

A `2 : 1` 
B `1 : 2` 
C `1 : 1` 
D `1 : 4` 

+ Answer
A 

+ Explanation
`x^2 + 4y^2 = 4xy`

`iff x^2 - 4xy + 4y^2 = 0`

`iff (x - 2y)^2 = 0`

`iff x -2y = 0`

`iff x = 2y`

`iff x/y = 2/1`.

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Md. Habib Ullah

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