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Suppose z and omega are two complex numb...

Suppose z and `omega` are two complex number such that `|z|leq1` , `|omega|leq1` and `|z+iomega|=|z-ibar omega|=2` The complex number of `omega` can be

A

1 or -i

B

-1

C

`I or -i`

D

`omega or omega^(2)` ( where `omega` is the cube root of unity)

Text Solution

Verified by Experts

The correct Answer is:
C
As obtained earlier `omega = pm i`.
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CENGAGE-COMPLEX NUMBERS-Exercise (Comprehension)
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  2. Consider a quadratic equaiton az^(2) + bz + c=0, where a,b,c are com...

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  3. Suppose z and omega are two complex number such that |z + iomega| = 2...

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  4. Suppose z and omega are two complex number such that Which of the fo...

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  5. Suppose z and omega are two complex number such that |z|leq1 , |om...

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  10. Consider the equation az + bar(bz) + c =0, where a,b,c inZ If |a| = ...

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  13. Complex numbers z satisfy the equaiton |z-(4//z)|=2 The value of arg...

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  14. Complex numbers z satisfy the equaiton |z-(4//z)|=2 Locus of z if |...

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