MathematicsMedium53×since 2002Q3172The locus of the centre of a circle which touches the circle ∣z−z1∣=a\left| {z - {z_1}} \right| = a∣z−z1∣=a and∣z−z2∣=b \left| {z - {z_2}} \right| = b\,∣z−z2∣=b externally (z, z1 & z2 z,\,{z_1}\,\& \,{z_2}\,z,z1&z2 are complex numbers) will be :Aan ellipseBa hyperbolaCa circleDnone of theseCheck answerSkip