Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a2 + b2 + c2 = 6.25

ab + bc + ca = 0.52

find a + b + c if a + b + c < 0

Options:

±2.7

-2.7

±2.8

-2.8

Correct Answer:

-2.7

Explanation:

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc +ca)

(a + b + c)2 = 6.25 + 2×0.52

a + b + c =\(\sqrt {7.29}\) = 2.7

a + b + c = -2.7 (a + b + c < 0)