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On the Argand plane z1, z2a n dz3 are re...

On the Argand plane `z_1, z_2a n dz_3` are respectively, the vertices of an isosceles triangle `A B C` with `A C=B C` and equal angles are `thetadot` If `z_4` is the incenter of the triangle, then prove that `(z_2-z_1)(z_3-z_1)=(1+sectheta)(z_4-z_1)^2dot`

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