Question 2 - Think & Reflect (Page 95) - Number of Circles - Chapter 5 Class 9 - I’m Up and Down, and Round and Round (Ganita Manja
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
Question 2 - Think & Reflect (Page 95) Are there circles of all possible radii passing through A and B? What is the radius of the smallest circle passing through A and B? What is the radius of the largest circle passing through A and B? No, circles cannot be of all possible radii Smallest radius Smallest radius would be when AB is the diameter i.e. when center lies on line segment AB Thus, Smallest Radius = 𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟/2=𝑨𝑩/𝟐 Largest radius There is no largest circle! As the center moves further away along the perpendicular bisector, the radius grows infinitely large
