Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + y + z = 0, then the value of $\frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}$ is :

Options:

3

1

0

2

Correct Answer:

3

Explanation:

If x + y + z = 0

Put x = y = 1, z = -2

$\frac{1^2}{1 × -2}+\frac{1^2}{-2 × 1}+\frac{-2^2}{1 × 1}$

$\frac{1}{-2}+\frac{1}{-2}+\frac{4}{1}$ = -1 + 4 = 3