Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?
(N/A) Let us draw different pairs of circles as shown below:
Thus,two circles can have at the most $2$ points in common.
| In figure | Maximum number of common points |
| $(i)$ | $0$ |
| $(ii)$ | $1$ |
| $(iii)$ | $2$ |
Thus,two circles can have at the most $2$ points in common.
Explore More
Similar Questions
Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.
Medium
View SolutionIn the figure,$\angle ABC = 69^{\circ}$ and $\angle ACB = 31^{\circ}$. Find $\angle BDC$. (in $^{\circ}$)
Medium
View SolutionIn a circle with centre $P$,$AB$ and $CD$ are equal chords. If $\angle APB = 70^{\circ}$,then find $\angle CPD$. (in $^{\circ}$)
Medium
View SolutionProve that if chords of congruent circles subtend equal angles at their centres,then the chords are equal.
Medium
View Solution$ABC$ and $ADC$ are two right triangles with a common hypotenuse $AC$. Prove that $\angle CAD = \angle CBD$.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo