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

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

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

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

If a circle S intersects circles S_1 and S_2 orthogonally. Prove that the centre of S lies on the radical axis of S_1 and S_2 .

Find the equation (s) of the circle passing through the points (1,1) and (2,2) and whose radius 1 .

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 AB is the common chord of S_(1)andS_(2). Find the equation of S_(2).

Let S1 and S2 be two circles. S1 is tangent to x-axis and S2 is tangent to y axis and the straight line y = mx touches both circle at their common point. If centre of the circle S1 is (3,1), then radius of circle S2 is p/q, Find the least value of (p+q)

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

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