Let `S_1` be a circle passing through `A(0,1)` and `B(-2,2)` and `S_2` be a circle of radius `sqrt(10)` units such that `A B` is the common chord of `S_1a n dS_2dot` Find the equation of `S_2dot`

The equation ofa circle which passes through (1,2) and (2,1) and whose radius is 1 units is

All those circles which pass through (2,0) and (-2,0) are orthogonal to the circle (s)

Let S_(1) and S_(2) be circle passing through (2,3) and touching the coordinate acea and S be the circle having common points of S_(1) and S_(2) as the centre and radius equal to G.M of radius of S_(1) and S_(2) then

Let S_(1) and S_(2) be circle passing through (2,3) and touching the coordinate axis and S be the circle having common points of S_(1) and S_(2) as the centre and radius equal to G.M of radius of S_(1) and S_(2) then

Find the equation of the circles which passes through the points A(1, 1) and B(2, 2 ) and whose radius is 1. Show that there are two such circles.

Consider a family of circles passing through two fixed points A=(2,6) and B=(4,5). Also S_(1) is the circle having centre (1,2) and radius equal to 3. The angle between the pair of tangent drawn from the point (4,5) to the circle S_(1) is

The line 2x-3y+1=0 is tangent to a circle S=0 at (1,1). If the radius of the circle is sqrt(13). Find theequation of the circle S.

Let A B C be a triangle right-angled at Aa n dS be its circumcircle. Let S_1 be the circle touching the lines A B and A C and the circle S internally. Further, let S_2 be the circle touching the lines A B and A C produced and the circle S externally. If r_1 and r_2 are the radii of the circles S_1 and S_2 , respectively, show that r_1r_2=4 area ( A B C)dot