Question 33

Ten straight lines, no two of which are parallel and no three of which pass through any common point, are drawn on a plane. The total number of regions (including finite and infinite regions) into which the plane would be divided by the lines is

Solution

If there are 'm' non-parallel lines, then the maximum number of regions into which the plane is divided is given by

[m(m+1)/2]+1

In this case, 'm' = 10

So, the number of regions into which the plane is divided is (10*11/2) + 1 = 56

Share on Whatsapp Share on Whatsapp

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

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 Logarithms Questions CAT Profit, Loss and Interest Questions CAT Mensuration Questions CAT Remainders Questions CAT Number Series Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data change over a period Questions CAT Arrangement Questions CAT Coins and Weights Questions CAT Miscellaneous LR Questions CAT Quant Based LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning Questions CAT Reading Comprehension Questions CAT Para Jumbles Questions CAT Para Summary 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

Related Formulas With Tests

Number of diagonals in an n-sided polygon

Follow us on

Boost your Prep!

Download App