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 centres of those circles which touch the circle, x^(2)+y^(2)-8x-8y-4=0 externally and also the x-axis, lie on

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 circles which touches (y-1)^(2)+x^(2)=1 externally and also touches X-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

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