The locus of the point which moves such that the sum of the squares of its distance from (0, a) is 2r², is

The The limiting points of the coaxal system x²+y²+2µy+9=0 are

If (2, 1 )is limiting point of the coaxal system of which x²+y²-6x-4y-3=0 is a member, then the other limiting point is

The locus of the point of intersection of two perpendicular tangents to the circle x²+y²=a², x²+y²=b² is

The equation of the image of the circle x²+y²-6x-4y+12=0 by the line mirror x+y-1=0 is

The inverse point of (1, 2) w.r.t the circle x²+y²=25 is (5, k), then k=

If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyclic, then t=

For the circle x²+y²-4x-2y-36=0, the point (3, 5)

The polars of two points A(1, 3) and B(2, -1) w.r.to the circle x²+y²=9 intersect at C. Then the polar of C w.r.to the circle is

The equation of the chord of the circle x²+y²-4x+6y-3=0 having (1, -2) as its midpoint is