Proof is here – Theorem 1 of Chapter 5 Class 9 – Ganita Manjari Part 1
Number of Circles through 3 Non-collinear 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 3 Non-collinear points Let’s consider 3 non-collinear points – A, B & C And, draw a circle through them Now, To find the center of a circle passing through A and B, we draw a perpendicular bisector To find the center for B and C, we draw another perpendicular bisector To find the center for A and C, we draw another perpendicular bisector Note: Two perpendicular bisectors are also enough Where all these 3 bisectors intersect is the center of circle O Now, taking O as center, and any of OA = OB = OC as radius We draw a circle containing all 3 points A, B & C Let’s look at the Proof of how only 1 circle can pass through 3 non-collinear points Proof is here – Theorem 1 of Chapter 5 Class 9 – Ganita Manjari Part 1
