Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x - y + z = 0

find \(\frac{{y}^{2}}{2xz}\) - \(\frac{{x}^{2}}{2yz}\) - \(\frac{{z}^{2}}{2xy}\)

Options:

\(\frac{3}{2}\)

\(\frac{1}{2}\)

-6

\(\frac{-3}{2}\)

Correct Answer:

\(\frac{3}{2}\)

Explanation:

Put x = z = 1

and y = 2

= \(\frac{{y}^{2}}{2xz}\) - \(\frac{{x}^{2}}{2yz}\) - \(\frac{{z}^{2}}{2xy}\)

= \(\frac{4}{2}\) - \(\frac{1}{4}\) - \(\frac{1}{4}\)

= \(\frac{3}{2}\)