If x + \(\frac{1}{y}\) = 1, y +&nbs

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{y}\) = 1, y + \(\frac{1}{z}\) = 1, find the value of (z + \(\frac{1}{x}\)).

Options:

-1

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

Correct Answer:

Explanation:

Let x = \(\frac{1}{2}\), y = 2 and z = -1

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

2 - 1 = 1 (satisfied)

so, z + \(\frac{1}{x}\) = - 1 + 2 = 1