Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x^2 + 4y^2 = 40$, xy = 6, and x > 2y, then the value of x - 2y is :

Options:

1

3

2

4

Correct Answer:

4

Explanation:

If $x^2 + 4y^2 = 40$,

xy = 6, and x > 2y,

then the value of x - 2y is = ?

We know,

a² + b² = (a - b)² + 2ab

According to question,

x2 + 4y= (x - 2y)2 + 4xy

= (x - 2y)2 = 40 - 4(6)

= (x - 2y)2 = (16

=  x - 2y = 4