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

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)-3xy-3x+9y=0 are normals,is

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

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 .

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 .

The equation of the circle with centre (-1,1) and touch the circle x^(2)+y^(2)-4x+6y-3=0 externally is

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) .

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:

Select the correct option from the given alternatives.The locus of the centre of the circle which touches the circle x^2+y^2-6x-6y+14=0 externally and also touches Y-axis,is