A circle S passes through the point (0, 1) and is orthogonal to the circles `(x -1)^2 + y^2 = 16` and `x^2 + y^2 = 1`. Then (A) radius of S is 8 (B) radius of S is 7 (C) center of S is (-7,1) (D) center of S is (-8,1)

A circle passes through the points (0,0) and (0,1) and also touches the circle x ^(2) + y ^(2) = 16. The radius of the circle is a)1 b)2 c)3 d)4

If a circle Passes through point (1,2) and orthogonally cuts the circle x^(2)+y^(2)=4, Then the locus of the center is:

The center(s) of the circle(s) passing through the points (0, 0) and (1, 0) and touching the circle x^2+y^2=9 is (are)

The radius of the least circle passing through the point (8,4) and cutting the circle x^(2)+y^(2)=40 orthogonally is

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

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

A circle S=0 passes through the common points of family of circles x^(2)+y^(2)+lambda x-4y+3=0 and (lambda varepsilon R) has minimum area then (A) area of S=0 is pi sq. units (C) radius of director circle of S=0 is 1 unit (D) S=0 never cuts |2x|=1 (B) radius of director circle of S=0 is sqrt(2)

If the line y=2-x is tangent to the circle S at the point P(1,1) and circle S is orthogonal to the circle x^2+y^2+2x+2y-2=0 then find the length of tangent drawn from the point (2,2) to the circle S

A circle S cuts three circles x^2 +y^2-4x-2y+4=0 x^2 +y^2-2x-4y+1=0 and x^2 +y^2+4x+2y+1=0 orthogonally. Then the radius of S is