In the given figure, AB is a diameter of the circle, CD is chord equal to the radius of the circle, AC and BD when extended intersect at a point E. Prove that `angle AEB = 60^(@).`

In figure, bar(AB) is a diameter of the circle, bar(CD) is a chord equal to the radius of the circle. bar(AC) and bar(BD) when extended intersect at a point E. Prove that angle AEB = 6^@ .

In the given figure, /_COB = 40^(@), AB is the diameter of the circle. Find m/_CAB :

In the given figure, if AC = BD, then prove that AB = CD.

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

AB is a diameter and AC is a chord of a circle with centre O such that angleBAC=30^@ . The tangent at C intersects AB at a point D. Prove that BC=BD.

In the given figure ‘O’ is the centre of the circle and AB, CD are equal chords. If angleAOB = 70^@ . Find the angles of the Delta OCD

In the given figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

In the given figure, two chords AB and CD intersect each other at the point P. Prove that AP*PB= CP*DP

In the given figure AB and CD bisect each other at O. Prove that AC = BD.

PQ is a chord of length 8cm of circle of radius 5cm. The tangent at P and Q intersect at a point T. Find the length TP.