Number of Circles through 2 points
Last updated at May 26, 2026 by Teachoo
Number of Circles
Number of Circles through 2 points
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Class 9
Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja
- Definitions
- Symmetries of Circle
-
Number of Circles
- Exercise Set 5.1
- Think, Draw and Infer (Page 98)
- Angle Subtended by Chords
- Exercise Set 5.2
- Mid-points and Perpendicular Bisectors of Chords
- Exercise Set 5.3
- Distance of Chords from the Centre
- Exercise Set 5.4
- Distance of unequal chords from center
- Exercise Set 5.5
- Angle subtended by an arc
- Exercise Set 5.6
- Concyclicity of Points and Cyclic Quadrilateral
- Theorems (and their Proofs)
- End-of-Chapter Exercises
Transcript
Number of Circles through 2 points Let’s consider a single point X We draw circles passing through point X We observe that infinite number of circles passes through 1 point Now, let’s check two points Let’s consider two points A & B Now, our rule is Centre of any circle passing through both A and B will ALWAYS lie on the perpendicular bisector of line segment AB Here, we see that circles with center M, N, O, P lie in perpendicular bisector of AB Now, Since there can be infinite points on perpendicular bisector AB, It means there can be infinite centers Thus, there are infinite circles which pass through two points A & B
