Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x2 + y2 + z2 = 13 and

xy + yz + zx = 11,

then find (x + y + z)2 .

Options:

32

70

40

35

Correct Answer:

35

Explanation:

Formula → (a + b)2 = a2 + b2 + 2ab

Here two eq. and three variables are given then put z = 0

x2 + y2 = 13

xy = 11

(x + y)2 = ?

(x + y)2 = 13 + 2(11) = 35