**Question:**

The locus of the centre of a circle which touches the circle $\left|z-z_{1}\right|=a$ and $\left|\mathrm{z}-\mathrm{z}_{2}\right|=b$ externally $\left(z, z_{1} \& z_{2}\right.$ are complex numbers) will be

Correct Option: 2

JEE Main Previous Year 2002

**Solution:**