Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (a + b - c + 2x2)2 + (b + c - a + 3x2)2 + (c + a - b - 6x2)2

= 0 find the value of \(\sqrt {a+b+c}\)

Options:

2x

x

-x

±x

Correct Answer:

±x

Explanation:

We know that if 

a2 + b2 + c2 = 0

a = 0

b = 0

c = 0

So, a + b - c = -2x2

b + c - a = -3x2

c + a - b = 6x2

By adding a + b + c = x2

\(\sqrt {a+b+c}\) = \(\sqrt {{x}^{2}}\) = ±x