The locus of the centre of a variable circle touching circle `|z|=5` internally and circle `|z-4|=1 externally is (A) a parabola (B) a hyperbola (C) an 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 the circle that touch a given circle internally is ________

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

The locus of the centre of a circle,which touches the circles |z-z_1|=a and |z-z_2|=b externally can be

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

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