How many tangents can you draw on a circle.

How many triangles can be obtained when the vertices of a hexagon are joined?

How many triangles can be obtained by joining the vertices of a quadrilateral?

If two parallel tangents drawn to a circle with centre O are intersected at the points D and E respectively by a tangent drawn at another point on the circle,then show that angleDOE=90^@

To draw a pair of tangents to a circle which are inclined to each other at an angle of 60° it is required to draw tangents at end point of these radii of the circle. The angle between them is

Prove that the perpendicular at the points of contact to the tangents to a circle passes through the centre.

The length of a tangent drawn to a circle from a point which is a distance of 13 cm from tha centre of the circle is 12 cm.Find the radius of the circle.

AB and CD are two parallel tangents to a circle with centre O. ST is a tangent segment between the parallel tangents touching the circle at Q. Show that angleSOT=90^@

CP and CQ are tangents to a circle with center O. ARB is another tangent touching the circle at R. If CP=11cm and BC=7cm find the BR.

XP and XQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. Show that XA + AR = XB + BR .