The locus of the centre of the circle which touches externally the circle `x^(2)+y^(2)-6x-6y+14=0` and also touches the x-axis is given by the equation

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 locus of the centre of the circle which cuts the circle x^(2)+y^(2)-20x+4=0 orthogonally and touches the line x=2 is

The locus of the centres of the circles which touch the circle x^(2)+y^(2)=1 externally also touch the y -axis and lie in the first quadrant,is

The locus of the centres of the circles, which touch the circle, x^(2)+y^(2)=1 externally, also touch the Y-axis and lie in the first quadrant, is