If 2x2 - 7xy + 3y2 = 0, then the value of x : y is

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If 2x² - 7xy + 3y² = 0, then the value of x : y is

1. 3 : 2
2. 2 : 3
3. 3 : 1 and 1 : 2
4. 5 : 6
5. None of the above

Correct Option: C

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