Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $ a + b + c = 0$, then $(\frac{2a^2}{3bc}+\frac{2b^2}{3ca}+\frac{2c^2}{3ab})$ is equal to :

Options:

3

4

1

2

Correct Answer:

2

Explanation:

If $ a + b + c = 0$,

then $(\frac{2a^2}{3bc}+\frac{2b^2}{3ca}+\frac{2c^2}{3ab})$ is equal to =?

If a + b + c = 0

Then, a3 + b3 + c3 = 3abc

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

= 2×\(\frac{3abc}{3abc}\) = 2