Consider the following statements: 1. In an equilateral triangle, the centroid and centre of circumcircle coincide. 2. Angle bisectors of a cyclic quadrilateral form another cyclic quadrilateral. 3. Every cyclic parallelogram is a rectangle. Which of the statements given above are correct?

If B is the center of a circle and lines AD and CD are tangent segments drawn from an external point D, then which of the following classifications apply to quadrilateral ABCD? (a) Kite (b) Cyclic quadrilateral (c) Rhombus (d) Trapezium

In a parallelogram PQRS, rays PA and SA are the angle bisectors of ∠QPS and ∠RSP respectively. Find the measure of ∠PAS.