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Let A(z1) and (z2) represent two compl...

Let `A(z_1) and (z_2)` represent two complex numbers on the complex plane. Suppose the complex slope of the line joining A and B is defined as `(z_1-z_2)/(bar z_1-bar z_2)`.If the line `l_1`, with complex slope `omega_1, and l_2`, with complex slope `omeg_2`, on the complex plane are perpendicular then prove that `omega_1+omega_2=0`.

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