If (a-4)2 + (b-7)2 + (c - 11)2

CUET Preparation Today

Start Free Mocks

Home Questions TAM4WZ7KGN

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (a-4)² + (b-7)² + (c - 11)² = 0

find the value of a² + b² + c² - abc.

Options:

-122

122

308

-186

Correct Answer:

-122

Explanation:

If (a-m)² + (b-n)² + (c - o)² = 0

then a - m = 0

b - n = 0

c - o = 0

So, a = 4

b = 7

c = 11

Now, a² + b² + c² - abc = 4² + 7² + 11² - 4x7x11 = 16 + 49 + 121 - 308 = -122