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Question

Given a point A(z) in the Argand plane. B(z) and C(z′′) are points obtained on rotating A(z) about the Origin through an angle α anticlockwise and clockwise, respectively, without changing modulus of z. Identify the correct statement(s).

A
z,z,z′′ form a G.P.
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B
z,z,z′′ form an A.P.
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C
(z)2+(z′′)2=2z2 cos 2α
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D
z+z′′=2z cos 2α
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