Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b + c = 0, then

find the value of \(\frac{a^2}{bc}\) + \(\frac{b^2}{ca}\) + \(\frac{c^2}{ab}\) .

Options:

1

3

5

9

Correct Answer:

3

Explanation:

When a + b + c = 0, then a3 + b3 + c3 = 3abc

⇒ \(\frac{a^2}{bc}\) + \(\frac{b^2}{ca}\) + \(\frac{c^2}{ab}\) = \(\frac{a^3 + b^3 + c^3}{abc}\) = \(\frac{3abc}{abc}\) = 3