In the adjoining figure, two circles with centres O and P are touching internally at point A. If BQ = 9. DE = 5, then find the radii of the circles.

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

In the adjoining figure circles with centres A and C touch internally at point T. Line AB is tangent to the smaller circle at point P. Point B lies on the bigger circle. Radii are 16 cm and 6 cm. Find AP.

Two circles with centres P and Q touch each other at point A. /_BPA =60^@ .Find m/_QCA .

Two circles with centres P and Q touch each other at point A. /_BPA =60^@ . Find m/_CQP .

In the adjoining figure, seg EF is the diameter of the circle with centre H. Line DF is tangent at point F. If r is the radius of the circle, then prove that DE xxGE=4r^2 .

In the adjoining figure, M is the centre of the circle and seg KL is a tangent. If MK=12, KL=6 sqrt 3 , then find the radius of the circle.

In the adjoining figure,seg QR is a chord of the circle with centre O. P is the midpoint of the chord QR. If QR=24, OP=10, find radius of the circle. To find solutions of the problem , write the theorems that are useful , Using them, solve the problem.

In the adjoining figure, a circle with centre 'O', arc PQ=arc QR=arc PR. Find measure of each arc.

In the adjoining figure,the circles with centre A and B touch each other at E Line l is a common tangent that touches the circle at C and D respectively.Find length of seg CD if the radii of the circles are 4 cm,6 cm?

Find the equation of the circle with centre: At (a,c) touching the Y-axis.