P is a point on the argand diagram on th...

P is a point on the argand diagram on the circle with OP as diameter two points taken such that `angle POQ = angle QOR = 0` If O is the origin and P, Q, R are are represented by complex `z_1, z_2, z_3` respectively then show that `z_2^2cos2 theta =z_1z_3 cos^2theta`

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