A. x=3+10cosθ, y=2+10 sinθ

B. x=1+5cosθ, y=5 sinθ

C. x=-3-10cosθ, y=2-10 sinθ

D. x=-53+10cosθ, y=-6+10 sinθ

The point (-1, 0) lies on the circle x^{2}+y^{2}-4x+8y+k=0. The radius of the circle

The lengths of the chords of the circle x^{2}+y^{2}-2x-6y-15=0 which make an angle of 60^{0} at (1, 3) and the locus of the midpoints of all such chords are

The shortest distance from (-2, 14) to the circles x^{2}+y^{2}-6x-4y-12=0 is

If the distances from the origin to the centres of three circles x^{2}+y^{2}-2k, x=c^{2} (i=1,2,3),are in G.P, then the lengths of the tangents drawn to them from any point on the circle x^{2} + v^{2} = c^{2} are in

If α, β are the roots of x^{2}+ ax+b=0 and γ, δ are the roots y^{2}+cx+d=0 then the equation of the circle having the line joining (α, γ), (β, δ) as diameter is