Question 145

If $$x^2 + y^2 = 0.1$$ and |x-y|=0.2, then |x|+|y| is equal to:

Solution

$$(x - y)^2 = x^2 + y^2 - 2xy$$

$$0.04 = 0.1 - 2xy => xy = 0.03$$

So, |xy| = 0.03

$$(|x| + |y|)^2 = x^2 + y^2 + 2|xy| = 0.1 + 0.06 = 0.16$$

So, |x|+|y| = 0.4

Share on Whatsapp Share on Whatsapp

Boost your CAT prep: Take All-India 3 free CAT mock tests with Video solutions

Video Solution

video

Click on the Email ☝️ to Watch the Video Solution

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Probability, Combinatorics Questions CAT Functions, Graphs and Statistics Questions CAT Averages, Ratio and Proportion Questions CAT Logarithms, Surds and Indices Questions CAT Progressions and Series Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Truth Lie Concept Questions CAT Charts Questions CAT Data change over a period Questions CAT Coins and Weights Questions CAT Special Charts Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Summary Questions CAT Odd One Out Questions CAT Vocabulary Questions CAT Verbal Ability Questions CAT Grammar and Sentence Correction Questions

Also Read

CAT Mock Tests

CAT 2025 Course

Free CAT Preparation

CAT Questions

CAT Formulas PDF

CAT Study Material

CAT Score vs Percentile

CAT Percentile Predictor

CAT Sectional Tests

CAT Exam

CAT Prep Videos

CAT Registration

CAT Syllabus 2025

CAT Eligibility Criteria

CAT Admit Card

CAT Score Calculator

Follow us on

Boost your Prep!

Download App