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`

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.

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

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 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 figure , circles with centres X and Y touch internally at point Z. Seg BZ is the chord of bigger circle and it intersects smaller k circle at point A. Prove that seg AX || seg BY.

In the figure, circles with centres X and Y touch internally at point Z. Seg BZ is a chord of bigger circle and it intersects smaller circle at point A. Prove that, seg AX || seg BY.

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 :

The circles shown in the given figure are called internally touching circles. Why?

In the figure, circles with centres X and Y touch internally at point Z. Seg BZ is a chord of bigger circle and it intersects smaller circlea t point A. Prove that , seg AX || seg BY