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 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 circles |z-z_1|=a and |z-z_2|=b externally can be

The locus of the centre of a circle which touches the circles |z-z_(1)|=a and |z-z_(2)|=b externally is

The locus of the centre of a circle which touches the circles |z-z_(1)|=a and |z-z_(2)|=b externally (z, z_(1), z_(2) are complex numbers) will be-

The locus of the centre of a circle which touches the circle |z-z_(1)|=a " and "|z-z_(2)|=b externally (z, z_(1)" and "z_(2) are complex numbers) 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 ……

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 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

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|=2 internally and circle |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) a ellipse (D) none of these