If $2 x^2-7 x y+3 y^2=0$ then find the R

CUET Preparation Today

Start Free Mocks

Home Questions Q8TXP9YDKM

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If $2 x^2-7 x y+3 y^2=0$ then find the Ratio of x, y:

Options:

3 : 1

1 : 2

1 and 2 both

2 : 3

Correct Answer:

1 and 2 both

Explanation:

$2 x^2-7 x y+3 y^2=0$

2x² - 6xy - xy + 3y² = 0

2x(x - 3y ) -y ( x - 3y ) = 0

(2x-y).(x-3y) = 0

So , both (2x-y) and (x-3y) = 0

2x-y = 0

2x = y

x : y = 1 : 2

And , x-3y = 0

x = 3y

x : y = 3 : 1

The correct answer is Option (3) → 1 and 2 both