A. 12(x-a)2-4y2=3a2
B. 9(x-a)2-5y2=2a2
C. 8x2-3(y-a)2=9a2
D. none
The locus of the centre of the circle which cuts the circles x2+y2+4x-6y+9=0 and x2+y2-4x+6y+4=0 orthogonally is
A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is
The pole of the line ax+by+3a2+3b2=0 w.r.t to the circle x2+y2+2ax+2by-a2-b2=0 is
The circle with centre on the line 2x-2y+9=0 and cutting the circles x2+y2=4 orthogonally, passes through the fixed points
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