[" 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 "],[[" (a) "x^(2)+y^(2)-6x-2y-1=0," is "," (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

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 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

Find the equation of the circle , centred at (-1,4) , which touches the circle x^(2) + y^(2) - 6x - 2y + 1 = 0 externally