Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (x - 2)2 + (y + 3)2 + (z - 15)2 = 0

Find \(\frac{1}{2}\)x + 2y + \(\frac{z}{3}\)

Options:

-14

-10

±3

0

Correct Answer:

0

Explanation:

x = 2, y = -3, z = 15

 

\(\frac{2}{2}\) + (-3 × 2) + \(\frac{15}{3}\)

1 - 6 + 5 = 0

 

[Note → If (x + k)2 + (y + l)2 + (z + m)2 = 0, then x = -k, y = -l, z = -m]