Consider two circle `x^(2)+y^(2)=1` and `(x-1)^(2)+(y-1)^(2)=3` ,then the circle which is orthogonal to given circle may be

Consider two circles S_1=x^2+(y-1)^2=9 and S_2=(x-3)^2+(y-1)^2=9 , now for these circles match the following :

If a line 3x+4y-20=0 intersect the circle x^2+y^2=25 at the point A,B then The radius of the circle which is orthogonal to the given circle and which pass through points A and B is

If (-(1)/(3),-1) is a centre of similitude for the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-6y-6=0, then the length of common tangent of the circles is

Consider the circles x^(2)+(y-1)^(2)=9,(x-1)^(2)+y^(2)=25. They are such that these circles touch each other one of these circles lies entirely inside the other each of these circles lies outside the other they intersect at two points.

Consider four circles (x+-1)^(2)+(y+-1)^(2)=1 Find the equation of the smaller circle touching these four circles.

If a variable circle cuts two circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-2y-7=0 orthogonally than loucs of centre of variable circle is

Consider the circles x^(2) + y^(2) = 1 & x^(2) + y^(2) – 2x – 6y + 6 = 0 . Then equation of a common tangent to the two circles is