Show that the equation of the circle which touches `x^(2)+y^(2)-6x+6y+17=0` external and to which the axes are normal is `x^(2)+y^(2)=(3sqrt(2)-1)^(2)`.

Locus of the centre of the circle which touches x^2+y^2 - 6x-6y+14 =0 externally and also y-axis is:

The equation of the circle which touches the circle x^2+y^2-6x+6y+17 = 0 externally and to which the lines x^2-3 xy-3x + 9y = 0 are normals, is

(i) Find the equation of circle which touches x^(2)+y^(2)-4x+6y-12=0 at (-1,1) internally with a radius of 2.

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

STATEMENT-1 : Equation of circle which touches the circle x^(2) + y^(2) - 6x +6y + 17 = 0 externally and to which the lines x^(2) - 3xy - 3x + 9y = 0 are normal is x^(2) + y^(2) - 6x - 2y +1 = 0 . STATEMENT-2 : Equation of circle which touches the circle x^(2) + y^(2) -6x + 6y + 17 = 0 internally and to which the line x^(2) - 3xy - 3x + 9y = 0 are normal is x^(2) + y^(2) -6x - 2y -15 = 0 . STATMENT-3 : Equation of circle which is orthogonal to circle x^(2) + y^(2) -6x + 6y + 17 = 0 and have normals along x^(2) -3xy -3x + 9y =0 is x^(2) + y^(2) - 6x -2 y-5 = 0 .

Find the equation of the circle concentric with the circle x^2 + y^2 - 4x - 6y - 3 = 0 and which touches the y axis

The locus of the centres of circles which touches (y-1)^(2)+x^(2)=1 externally and also touches X-axis is

Show that the equation of the circle which passes through the point (-1,7) and which touches the straight line x=y at (1,1) is x^2+y^2+3x-7y+2=0

The locus of the centres of the circles which touch x^2+y^2=a^2 and x^2+y^2=4ax, externally

The locus of the centres of the circles which touch x^2+y^2=a^2 and x^2+y^2=4ax , externally