P is any point , O being the origin. The...

P is any point , O being the origin. The circle on OP as diameter is drawn. Points Q and R are taken on the circle to lie on the same side of OP such that `angle POQ= angle QOR=theta`. If P, Q, R are `z_1, z_2, z_3` such that `2 sqrt3 z_(2)^(2) = (2 + sqrt3) z_1 z_3`. Then find angle `theta`.

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P is any point , O being the origin. The circle on OP as diameter is drawn. Points Q and R are taken on the circle to lie on the same side of OP such that `angle POQ= angle QOR=theta`. If P, Q, R are `z_1, z_2, z_3` such that `2 sqrt3 z_(2)^(2) = (2 + sqrt3) z_1 z_3`. Then find angle `theta`.

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