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

Locus of centres of the circles which touch the two circles x^(2)+y^(2)=16 and x^(2)+y^(2)=16x externally is

The locus of the centres of the circles which touch x^(2)+y^(2)=a^(2) and 'x^(^^)2+y^(^^)2=4ax externally

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

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 __________ .

Let S_(1): x^(2)+y^(2)=9 and S_(2) : (x-2)^(2)+y^(2)=1 . Then the locus of centre of a variable circle S which touches S_1 internally and S_2 externally always passes through the points:

Locus of the centre of the circle which touches the x-axis and also the circle (x-2)^(2)+(y-2)^(2)=4 externally is

The locus of centre of circle which touches the circle x^(2)+y^(2)=1 and y- axis in 1 st quadrant is