Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a2 + b2 + c2 = 2(a - b + c) - 3, then find the value of (a - b + c) is?

Options:

0

1

2

3

Correct Answer:

3

Explanation:

a2 + b2 + c2 = 2(a - b + c) - 3

(a2 - 2a + 1) + (b2 + 2b + 1) + (c2 -2c + 1) = 0

(a - 1)2 + (b + 1)2 + (c - 1)2 = 0

so, a = 1, b = -1 and c = 1

Then (a - b + c) = 1 - (-1) + 1 = 1 + 1 + 1 = 3