Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a2 + b2 + \(\frac{1}{a^2}\) + \(\frac{1}{b^2}\)  = 4, a ≠ 0, b ≠ 0, then the value of a5 + b5 is?

Options:

8

256

64

2

Correct Answer:

2

Explanation:

Put a, b = 1 (let)

12 + 12 + \(\frac{1}{1^2}\) + \(\frac{1}{1^2}\)  = 4  (satisfied)

Therefore, a5 + b5 = 15 + 15 = 1 + 1 = 2