Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x = y + z = 0, then what will be the value of $(\frac{x^2}{yz})+(\frac{y^2}{zx})+(\frac{z^2}{xy})$ ?

Options:

$\frac{3(x^2+y^2+z^2)}{xyz}$

$x^2 + y^2 + z^2$

$\frac{x^2y^2z^2}{x}$

3

Correct Answer:

3

Explanation:

If x = y + z = 0,

then what will be the value of $(\frac{x^2}{yz})+(\frac{y^2}{zx})+(\frac{z^2}{xy})$

Put the value of x = 2 , y = 1 and z = 1

Put these values in required equation,

$(\frac{x^2}{yz})+(\frac{y^2}{zx})+(\frac{z^2}{xy})$= $(\frac{2^2}{1})+(\frac{1^2}{2})+(\frac{1^2}{2})$ = 3