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Consider the circle |z|=r in the Argand ...

Consider the circle `|z|=r` in the Argand plane, which is in fact the incircle of triangle `A B Cdot` If contact points opposite to the vertices `A ,B ,C` are `A(z_1),B(z_2)a n dC(z_3)` , obtain the complex numbers associated with the vertices `A ,B ,C` in terms of `z_1, z_2a n dz_3dot`

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