205 Views

there are 4 5 and 6 points on the parallel and coplanar lines if no set of 4 or more points is cyclic and no set of 3 points lying on distinct lines is collinear,then the no.of circles passing through exactly 3 points is.


V.sri swetha naga sai 12th Apr, 2022
Answer (1)
pri111nah 12th Apr, 2022

Hi,

It's mentioned that no more than 4 points can lie on the circle of the circle cannot pass through more than a set of four points.

So, it's obvious that from the parallel lines only one point can be included. Hence, here are the following combinations which can be found-

Case I: 4C1* 5C1*6C2

Case II: 4C1* 5C2*6C1

Case III: 5C2* 6C2

Case IV: 5C3* 6C1

Case V: 6C3* 5C1


Hope this helpful.

Know More About

Related Questions

Amity University Admissions 2025
Apply
Amongst top 3% universities globally (QS Rankings) | Ranked as India’s #1 Not for profit pvt. University by India Today
Manav Rachna-MRIIRS B.A Admis...
Apply
NAAC A++ Grade | 41000+ Alumni network | Students from over 20 countries
Geeta University | B.A Admiss...
Apply
47 years of academic excellence | 40 LPA-Highest Package Offered
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
Shoolini University Admission...
Apply
NAAC A+ Grade | Ranked No.1 Private University in India (QS World University Rankings 2025)
UPES Dehradun BA Admissions 2025
Apply
Ranked #46 amongst Universities in India by NIRF | 1900+ Students Placed | 94% Placement | 633+ Recruiters | Last Date to Apply: 14th August | Admi...
View All Application Forms

Upcoming Exams

Admit Card Date: 9 Aug, 2025 - 14 Aug, 2025
Application Date: 16 Jul, 2025 - 15 Aug, 2025

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books