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A complex number z is said to be unimodu...

A complex number z is said to be unimodular if `abs(z)=1`. Suppose `z_(1)` and `z_(2)` are complex numbers such that `(z_(1)-2z_(2))/(2-z_(1)z_(2))` is unimodular and `z_(2)` is not unimodular. Then the point `z_(1)` lies on a

A

circle of radius z

B

circle of radius `sqrt(2)`

C

straight line parallel to X-axis

D

straight line parallel to y-axis

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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  7. Let z be a complex number such that the imaginary part of z is nonzero...

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  13. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

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  14. If z is a complex number such that |z|>=2 then the minimum value of |z...

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  15. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

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