Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b + c = 7, a2 + b2 + c2 = 21 , then the value of (ab + bc + ca) is?

Options:

12

14

10

16

Correct Answer:

14

Explanation:

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

(7)2 = 21 + 2(ab + bc + ca)

49 - 21 = 2(ab + bc + ca)

(ab + bc + ca) = 14