In the given figure, centre of two circles is O. Chord AB of bigger circle intersects the smaller circle in points P and Q . Show that AP = BQ.

In the given figure, O is the centre of the circle. Name all chords of the circle.

In the adjoining figure, O is the centre of two concentric circles. The chord AB of larger circle intersects the smaller circle at C and D. (i) Find AC:BD . (ii) If AC=2cm , then find the length of BD.

In the figure, two circles touch internally at point P. chord AB of the larger circle intersects the smaller circle in C and D. Prove /_CPA cong /_DPB .

In the given figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

In given figure, O is the centre of the circle. A chord, which is not the diameter of the circle is

Let M be a point of contact of two internally touching circles. Let line AMB be their common tangent. The chord CD of the bigger circle touches the smaller circle at the point N. Chord CM and chord DM of the bigger circler intersect the smaller circle at the points P and R respectively. Prove that /_ CMN ~= /_ DMN . Construction : Draw seg NR.

In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point p within the circle. If AB = 15 cm, PB = 9 cm, then find the length of PD.

In the figure , two concentric circles of radii a&b(a>b) are given.The chord AB of larger circle touches the smaller circle at C .The length AB is :

In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 18 cm, PB = 8 cm, CP = 5 cm, then find the length of CD.