if 5x2 13xy 6y2 0 then x y is, Ratio & Proportion, General Mathematics

Question:If `5x^2 - 13xy + 6y^2 = 0`, then `x : y` is :

A `5 : 3` or `1 : 2` 
B `3 : 5` or `2 : 1` 
C `2 : 1` only 
D `3 : 5` only

/107

+ AnswerB

+ Explanation`5x^2 - 13xy + 6y^2 = 0`

`iff 5x^2 - 10xy - 3xy + 6y^2 = 0`

`iff 5x (x - 2y) - 3y (x - 2y) = 0`

`iff (x - 2y)(5x - 3y) = 0`

`iff x - 2y = 0` or `5x - 3y = 0`

`iff x = 2y` or `5x = 3y`

`iff x : y = 2 : 1` or `x : y = 3 : 5`.

+ Report

Descriptive on Ratio & Proportion Ebook

Total Preview: 1937