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QJEEAdv04Ma5f1c: JEE Advanced 2004 Mathematics - Class 11 JEEAdv04Ma5f1c Solution: Find the centre and radius of circle given by where,

Find the centre and radius of circle given by  ∣z−αz−β∣=k,k≠1 \,\left| {{{z - \alpha } \over {z - \beta }}} \right| = k,k \ne 1\,

where, z=x+iy,α= α1+iα2, β=β1+iβ2{\rm{z = x + iy, }}\alpha {\rm{ = }}\,{\alpha _1}{\rm{ + i}}{\alpha _2}{\rm{,}}\,\beta = {\beta _1}{\rm{ + i}}{\beta _2}{\rm{ }}

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