Two circles, each of radius 5 units, touch each other at (1, 2). If the equation of their common tangents is `4x+3y=10` , find the equations of the circles.

Two circles of radius 8.2 cm and 3.6 cm touch each other externally , the distance between their centres is …………

A circle of radius 3 units touches both the axes. Find the equations of all possible circles formed in the general form.

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4 . Then find the radius of the circle.

Two circles with radii aa n db touch each other externally such that theta is the angle between the direct common tangents, (a > bgeq2) . Then prove that theta=2sin^(-1)((a-b)/(a+b)) .

The equation of a circle of radius r and touching both the axes is

The equation of radical axis of two circles is x + y = 1 . One of the circles has the ends ofa diameter at the points (1, -3) and (4, 1) and the other passes through the point (1, 2).Find the equating of these circles.

A circle touches the y axis at (0,2) and its x intercept equal to 3 units, then the equation of the circle is

Find the equation of the circle having center at (2,3) and which touches x+y=1

A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.