If x2 + 9y2 - 6xy = 0, then x : y is equ - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If x² + 9y² - 6xy = 0, then x : y is equal to:

Options:

3 : 2

1 : 3

3 : 1

2 : 3

Correct Answer:

3 : 1

Explanation:

x² + 9y² - 6xy = 0,

⇒ x² + (3y)² - 2.x.3y = 0,

⇒ (x - 3y)² = 0

⇒ x - 3y = 0

⇒ x = 3y

⇒ x : y = 3 : 1

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