As shown in the figure, circles with centres A.B and C are externally tangent to each other and internally tangent to the circle with centre D Circles B and C are congruent. Circle A has radius 1 and passes through D. The radius of the circle B, is

Draw circles with centres A,B and C each of radius 3 cm, such that each circle touches the other two circles.

A circle with centre (a,b) passes through the origin. The equation of the tangent to the circle at the origin is

Draw a circle with radius 3.4 cm. Draw tangent to the circle, passing through point B on the circle, without using centre.

Draw a circle with centre A and radius 3.5cm. Take a point B such that d(A,B)=8cm. Draw tangents to the circle passing through point B.

Two circles with radii a and b respectively touch each other externally . Let c be the radius of a circle that touches these two circles as well as a common tangent to the circles. Then

In the following diagram there are three circles packed in another circle, such that each circle is tangent to all other circles in this arrangement. The radius of the circumscribing circle A is 1 cm, and circle B and circle C are congruent. Find the radius of the circle D.

Three circles,each of radius one,have centres at A,B and C. Circles A and B touch each other and circle C touches AB at its midpoint. The area inside circle C and outside circles A and B is

The centres of the circles are (a, c) and (b, c) and their radical axis is y-axis. The radius of one of the circles is r. The radius of the other circle is