The locus of the centre of a circle the touches the given circle externally is a _______

The locus of the centre of the circle that touch a given circle internally is ________

Two circles are given such that they neither intersect nor touch.Then identify the locus of the center of variable circle which touches both the circles 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 centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse

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 centre of the circles which touches both the axes is given by

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 __________ .