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Circle through 3 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
Circle through 3 Collinear points Collinear points are those points which lie on the same line Let’s consider 3 points - A, B, C on the same line 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 The center of the circle must be where those two bisectors intersect But, if A, B, and C are in a perfectly straight line, their perpendicular bisectors will be perfectly parallel to each other And, Parallel lines never intersect Since the perpendicular bisectors never intersect, there is no center point Therefore, no circle can be drawn.
