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If |z|=2a n d(z1-z3)/(z2-z3)=(z-2)/(z+2)...

If `|z|=2a n d(z_1-z_3)/(z_2-z_3)=(z-2)/(z+2)` , then prove that `z_1, z_2, z_3` are vertices of a right angled triangle.

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