Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $\frac{a}{b} + \frac{b}{a} = 1$ and a + b = 2 , then the value of a3 + b3 is:

Options:

0

3

1

2

Correct Answer:

0

Explanation:

If $\frac{a}{b} + \frac{b}{a} = 1$

\(\frac{a^2 + b^2}{ab}\) = 1

a2 + b2 = ab

a3 + b3 = ( a + b ) ( a2 + b2 - ab )

a3 + b3 = 2 ( 1- 1 )

a3 + b3 = 0