A. c=r(a2+b2)
B. r=c(a2+b2)
C. c2=r2(a2+b2)
D. r2=c2(a2+b2)
The circle orthogonal to the three circles x2+y2+aix+biy+c=0, i=1, 2, 3 is
The coaxal system having limiting points (2,3), (-3, 2) is
If the two circles (x-1)2+(y-3)2=r2 and x2+y2-8x+2y+8=0 intersect in two distinct points, then
The pole of a straight line with respect to the circle x2+y2=a2 lies on the circle x2+y2=9a2. If the straight line touches the circle x2+y2=r2, then
P(-2, -1) and (0, -3) are the limiting points of a coaxal system of which C= x2+y2+5x+y+4=0 is a member. The circle S= x2+y2-4x-2y-15=0 is orthogonal to the circle C. The point where the polar P cuts the circle S is
A tangent to the circle x2+y2=4 meets the coordinate axes at P and Q. The locus of mindpoint of PQ is
The condition that the circles (x-α)2+(y-β)2=r2, (x-β)2+(y-α)2=r2 may touch each other is
The length of the chord of contact of (-2, 3) with respect to the circle x2+y2-2x+4y+1=0 is
From the origin chords are drawn to x2+y2-2y=0. The locus of the middle points of these chords is
Consider a family of circles which are passing through the point (-1, 1) and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of K is given by the interval