Series 1: playing of 3
Theorem :- The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle
Theorem :- Angles in the same segment of a circle are equal
Theorem :- If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle (i.e. they are concyclic)
Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.
Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.