Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x^2 +y^2 +2y +4x + 5 = 0, \, then \, \frac{x+y}{x-y}$ = __________.

Options:

-3

$\frac{1}{3}$

-1

3

Correct Answer:

-3

Explanation:

x+ y2 + 2y + 4x + 5 = 0

=x2 + y2 + 2y + 4x + 4 + 1 = 0 

=x2 +  4x + 4 + y2 + 2y + 1 = 0 

=(x + 2)2 + (y + 1)2 = 0

x = -2 

y = -1

$\frac{x+y}{x-y}$ = $\frac{-2 -1}{-2 +1}$ = 3