If, $\frac{r}{13}+\frac{13}{r} = 1$ then

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If, $\frac{r}{13}+\frac{13}{r} = 1$ then the value of r³ is:

Options:

-2157

2197

2157

-2197

Correct Answer:

-2197

Explanation:

If, $\frac{r}{13}+\frac{13}{r} = 1$

Then the value of r³ is?

If we have x + $\frac{1}{x}$ = 1

Then x³ = -1 always

($\frac{r}{13}$)³ = -1

r³ = -2197