Properties of Circles
Trignometric equations of Class 11
Properties of Circle
(a) Angles of the same segment of a circle are equal i.e., ∠APB = ∠AQB = ∠ARB (b) Angles of alternate segments of a circle are equal. (c) If the line joining two points A & B subtend the greatest angle α at a point P then the circle, will touch the straight line, at the point P. |
Fig. Tri. 8 |
Fig. Tri.9 |
Fig. Tri.10 |
(d) The angle subtended by any chord on center is twice the angle subtended by the same chord on any point on the circumference of the circle.
Fig. Tri.11 |