Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + y = 27,

x2 + y2 = 425

Find (x - y)2 

Options:

11

121

242

132

Correct Answer:

121

Explanation:

Formula: (x + y)2 = x2 + y2 + 2xy

⇒ (27)2 = 425 + 2xy

⇒ 729 - 425 = 2xy

⇒ 2xy = 304

Now,

⇒ (x - y)2 = x2 + y2 - 2xy

⇒ (x - y)2 = 425 - 304 = 121