A circle touches two of the smaller sides of a `DeltaABC(a lt b lt c)` and has its centre on the greater side. Then, find the radius of the circle.

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

If a square of side 10 is inscribed in a circle then radius of the circle is

A circle touches the hypotenuse of a right angled triangle at its middle point and passes through the mid-point of the shorter side. If a and b (altb) be the lengths of the sides, then prove that the radius of the circle is b/(4a) sqrt(a^2 + b^2)

Three circles touch each other externally. A triangle is formed when the centres of these circles are joined together. Find the radii of the circles, if the sides of the triangle formed are 6 cm, 8 cm and 9 cm.

An equilateral triangle of side 9 cm is inscribed in a circle. Find the radius of the circle.

in the adjoining figure ABCD is a square of side 14 cm. Find the radius of the circle

Let ABCD be a square of side length 2 units. C_(2) is the fircle through the vertices A, B, C, D and C_(1) is the circle touching all the of the square ABCD. L is a lien through vertex A. A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line L. The locus of the centre of the circle is

Chords AB and CD of a circle are parallel to each other and lie on opposite sides of the centre of the circle. If AB = 36 cm, CD = 48 cm and the distance between the chords is 42 cm, find the radius of the circle.

A circle C_1 of radius b touches the circle x^2 + y^2 =a^2 externally and has its centre on the positiveX-axis; another circle C_2 of radius c touches the circle C_1 , externally and has its centre on the positive x-axis. Given a lt b lt c then three circles have a common tangent if a,b,c are in

A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :