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 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

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

Find locus of centre of circle which touches between x^2+y^2=9 internally and (x-2)^2+y^2=1 externally

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .