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

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

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

The locus of the centre of a circle which touches externally the circle x^2 + y^2-6x-6y+14 = 0 and also touches Y-axis, is given by the equation (a) x2-6x-10y+14 = 0 (b) x2-10x-6y + 14 = 0 (c) yr_6x-10y+14-0 (d) y,2-10x-6y + 14 = 0

The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0 , externally and also touch the x-axis, lie on : (1) a circle. (2) an ellipse which is not a circle. (3) a hyperbola. (4) a parabola.

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) .

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

Find the centre and radius of the the circles: x^2 +y^2 - 4x-6y-14=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 .

Find the locus of the centre of the circle which cut the circles x^2+y^2+4x-6y+9=0 and x^2+y^2-4x+6y+4=0 orthogonally (a) 9x+10y-7=0 (b) 8x-12y+5=0 (c) 9x-10y+11=0 (d) 9x+10y+7=0