A. (4, -4), (1/2, 1/2)
B. (-4, 4), (-1/2, 1/2)
C. (4, -4), (-1/2, 1/2)
D. (-4, 4), (1/2, 1/2)
The lengths of the tangents from any point on the circle 15x2+15y2-48x+64y=0 to the two circles 5x2+5y2-24x+32y+75=0, 5x2+5y2-48x+64y+300=0 are in the ratio
The equation of the common chord of the two circles x2+y2+2x+3y+1=0, x2+y2+4x+3y+2=0 is
The point (3, 1) is a point on a circle C with centre (2, 3) and C is orthogonal to x2+y2=8. The conjugate point of (3, 1) w.r. to x2 + y2 =8 which lies on C is
The polar of given point with respect to any one of the circles x2+y2-2kx+c2=0, (k is a variable) always passes through a fixed point whatever be the value of k is
The locus of the foot of the perpendicular drawn from the origin to any chord of the circle x2+y2+2gx+2fy+c=0 which substends a right angle at the origin is
The equation of the circle belonging to the coaxal system of which (2, -3)(0, -4) are the limiting points and passing through the point (2, -1) is
The equation of the circle passing through the points (1, 1), (2, -1), (3, 2) is
If a, b, c are the lengths of tangents from (0, 0) to the circle x2+y2-3x-4y+1=0, x2+y2+4x-6y+4=0, x2+y2-6x-12y+9=0 then the ascending order of a, b, c is
The two circles (x-a)2+(y-b)2=c and (y-b)2+x2=4c have only one real common tangent then
The locus of the point whose shortest distance from the circle x2-2x+6y-6=0 is equal to its distance from the line x-3=0 is