JEE Math Practice Question
The locus of the centre of a circle which touches the circle $$\left| {z - {z_1}} \right| = a$$ and$$\left| {z - {z_2}} \right| = b\,$$ externally ($$z,\,{z_1}\,\& \,{z_2}\,$$ are complex numbers) will be :
- A.an ellipse
- B.a hyperbola
- C.a circle
- D.none of these
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