The locus of the centre of a variable circle touching circle `|z|=2` internally and circle `|z-4|=1` externally is (A) a parabola (B) a hyperbola (C) a ellipse (D) none of these

Locus of the centre of the circle touching circles |z|=3 and |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) an ellipse (D) none of these

The locus of the centre of a circle which touches two given circles externally is a

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

The locus of the center of a circle which touches the circles |z-z_1|=a, |z-z_2=b| externally will be

Locus the centre of the variable circle touching |z-4|=1 and the line Re(z)=0 when the two circles on the same side of the line is (A) a parabola (B) an ellipse (C) a hyperbola (D) none of these

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

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

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

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