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 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

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 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 center of a circle which touches the circles |z-z_(1)|=a,z-z_(2)=b| externally will be

The locus of the centre of a circle which touches the given circles |z -z_(1)| = |3 + 4i| and |z-z_(2)| =|1+isqrt3| is a hyperbola, then the lenth of its transvers axis is ……

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 curve for which the normal at every point passes through a fixed point is a (A) parabola (B) hyperbola (C) ellipse (D) circle

Locus of the centre of the circle touching the line 3x + 4y + 1=0 and having radius equal to 5 units is

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