No products in the cart.

Draw different pairs of circle how …



Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Draw different pairs of circle how many points does each pair have in common what is the maximum number of common points
  • 1 answers

Preeti Dabral 1 month, 3 weeks ago

From the figure, we observe that when different pairs of circles are drawn, each pair have two points (say A and B) in common.
Maximum number of common points are two in number.

Suppose two circles C (O) and C (O’) intersect each other in three points, say A, B and C.
Then A, B and C are non-collinear points.
We know that:
There is one and only one circle passing through three non-collinear points.
Therefore, a unique circle passes through A, B and C.
{tex} \Rightarrow {/tex} O’ coincides with O and s = r where s and r are the radii of two circles C(O) and C(O')
A contradiction to the fact that C (O’,) {tex} \ne {/tex} C (O,)
{tex}\therefore {/tex} Our supposition is wrong.
Hence two different circles cannot intersect each other at more than two points.

Related Questions

√2+√2 are irrational prove that
  • 1 answers
  • 3 answers
Solve (√5)^7÷(√5)^5=5^x.
  • 1 answers
3x^3-6x^2+3x-7÷9 ÷ 3x-4
  • 2 answers
  • 2 answers
Middle term theorem
  • 1 answers
  • 0 answers

myCBSEguide App


Trusted by 1 Crore+ Students

Question Paper Creator

  • Create papers in minutes
  • Print with your name & Logo
  • Download as PDF
  • 5 Lakhs+ Questions
  • Solutions Included
  • Based on CBSE Syllabus
  • Best fit for Schools & Tutors

Test Generator

Test Generator

Create papers at ₹10/- per paper

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App