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If 2x 2 - 7xy + 3y 2 = 0, then the value of x : y is

Correct Answer: 3 : 1 and 1 : 2

Explanation:

2x2 - 7xy + 3y2 = 0
⇒ 2x2 - 6xy - xy + 3y2 = 0
⇒ 2x(x - 3y) - y(x - 3y) = 0
⇒ (2x - y) (x - 3y) = 0
Either, 2x - y = 0 ⇒ 2x = y
⇒ x/y = 1/2
or x - 3y = 0
⇒ x = 3y ⇒ x/y = 3/1


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