In the given figure, the chord `AB` of the larger of the two concentric circles, with centre `O`, touches the smaller circle at `C`. Prove that `AC=CB`.

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.

Let two chords AB and AC of the larger circle having same centre touch the smaller circle having same centre at X and Y. Then XY = ?

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 .

Prove that in two concentric circles, the chord of the larger circle which touches the smaller circle is bisected at the point of contact.

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,AB and AC are two equal chords of a circle with centre O.Show that o lies on the bisectors of /_BAC.

In the figure, M is the point of contact of two internally touching circles. The chord CD of the bigger circle touches the smaller circle at point N. Line AMB is their common tangent. Prove MN bisects /_CMD

Prove that in two concentric circles,the chord of the larger circle,which touches,the smaller circle,is bisected at the point of contact.

In the figure,two equal chords AB and CD of a circle with centre O ,intersect each other at E , Prove that AD=CB