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
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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

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