# JEE Main & Advanced Mathematics Trigonometric Equations Some Properties Related to Circle

## Some Properties Related to Circle

Category : JEE Main & Advanced

(1) Angles in the same segment of a circle are equal i.e., $\angle APB=\angle AQB=\angle ARB$.

(2) Angles in the alternate segments of a circle are equal.

(3) If the line joining two points A and B subtends the greatest angle $\alpha$ at a point P then the circle, will touch the straight line $XX'$at the point P.

(4) The angle subtended by any chord at the centre is twice the angle subtended by the same on any point on the circumference of the circle.

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