Step 1: Draw the diagram according to the given instructions.

            NOTE: We are given two concentric circles C_1 \text{and} C_2  with centre O and a chord AB of the larger circle C_1, touching the smaller circle C_2 at the point P.

Step 2: Prove that the chord is perpendicular to the radius of the smaller circle

            NOTE: Large chord is tangent to the smaller circle so, it is perpendicular to the radius.

        EXAMPLE:  AB is perpendicular OP

Step 3: Join the center and the end points of the chord  to form  triangles

Step 4: Prove that two triangles are similar by using the theorems

            NOTE: ∆OAP and ∆OBP are congruent. (since SAS theorem)  

            This means AP = PB. Therefore, OP is the bisector of the chord AB, as the        

            perpendicular from the centre bisects the chord.