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Question

If z1 and z2 are two distinct points in an argand plane such that a|z1|=b|z2| (where a,bR), then the point (az1bz2+bz2az1) will always lie on the

A
line segment [2,2] of the real axis
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B
line segment [2,2] of the imaginary axis
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C
unit circle |z|=1
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D
the line whose arg(z)=tan12
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