The equation of the circle which has normals `x-1).(y-2)=0` and a tangent `3x+4y=6` is `x^2+y^2-2x-4y+4=0` `x^2+y^2-2x-4y+5=0` `x^2+y^2=5` `(x-3)^2+(y-4)^2=5`

The radius of the circle which has normals xy-2x-y+2= 0 and a tangent 3x+4y-6= 0 is

The equation of the circle which cuts the three circles x^2+y^2-4x-6y+4=0, x^2+y^2-2x-8y+4=0, x^2+y^2-6x-6y+4=0 orthogonally is

The equation of the circle concentric with x^(2)+y^(2)-6x+4y-3=0 and having radius 5 is

The equation of the circle which cuts orthogonally the three circles x^2+y^2+4x+2y+1=0, 2x^2+2y^2+8x+6y-3=0, x^2+y^2+6x-2y-3=0 is

The equation of the circle passing through the point (1,1) and having two diameters along the pair of lines x^2-y^2-2x+4y-3=0 is a. x^2+y^2-2x-4y+4=0 b. x^2+y^2+2x+4y-4=0 c. x^2+y^2-2x+4y+4=0 d. none of these

the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 are

The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-2) to is

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0

Find the equation of the circle which cuts the three circles x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0, and x^2+y^2+2x-6y+9=0 orthogonally.

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is