A. x2+y2+4(-4±2√3)x+(-4±2√3)y+6=0
B. x2+y2+4(-4+2√5)x+(14+2√5)y+6=0
C. 3x2+3y2+(-4+32√3)x+(-11+2√5)y+6=0
D. 3x2+3y2+(40+3√5)5x+(34+3√5)2y+26=0
If the lines 2x-y+11=0, x-2y+3=0 intersecting the coordinate axes in four concyclic points then the centre of the circle passing through these four points is
The equation of the circle which touch the y-axis at a distance 4 from the origin and make an intercept 6 on the x-axis is
The circle on the chord x cos α+ y sin α=p of the circle x2+y2=r2 as diameter is
The internal centre of similitude of the two circles x2+y2+6x-2y+1=0, x2+y2-2x-6y+9=0 is
If the line x+y+1=0 touches the circle x2+y2-3x+7y+14=0, then the point of contact is
The equation of the tangents to a circle x2+y2-4x-6y-12=0 and parallel to 4x-3y=1 are
Equation x2+2ax-b2=0 has real roots α, β and equation x2+2px-q2=0 has real roots γ, δ. If circle C is drawn with the points (α, γ), (β, δ) as extremities of a diameter, then the equation of C is
The equation of the circle passing through (0, 0) and cutting orthogonally the circles x2+y2+6x-15=0, x2+y2-8x+10=0 is
The equation of the circle passing through the points of intersection of the circle x2+y2-2x+4y-20=0, the line 4x-3y-10=0 and the point (3, 1) is
The equation of the circle touching the line 3x-4y-15=0 and belonging to the coaxal system having limiting points (2, 0), (-2, 0) is