The locus of the centre of a circle which touches the circle | z - z₁ | = a and | z - z₂ | = b externally (z, z₁ z₂ are complex numbers) will be:

Complex Numbers and Quadratic Equations: JEE Main 2002 Mathematics question

JEE Main 2002 · Annual, Paper 1 · Q3172

JEE Main 2002Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 :

JEE Main 2002 · Annual, Paper 1 · Q3172

JEE Main 2002Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 :