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If k + |k + z^2|=|z|^2(k in R^-), then ...

If `k + |k + z^2|=|z|^2(k in R^-)`, then possible argument of z is

A

0

B

`pi`

C

`pi//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Given that `|k + z^(2)| = |z^(2)| - K = |z^(2)| + |k|`
`rArr k,z^(2) and 0 + i0` are collinear
`rArr arg(z^(2)) = arg(k)`
`rArr 2 arg (z) = pi`
` rArr arg(z) = (pi)/(2)`
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CENGAGE-COMPLEX NUMBERS-Exercise (Single)
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  9. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

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  10. z1 and z2, lie on a circle with centre at origin. The point of interse...

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  13. Consider the region S of complex numbers a such that |z^(2) - az + 1...

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  14. The complex number associated with the vertices A, B, C of DeltaABC...

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  16. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

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  17. The value of z satisfying the equation logz+logz^2+dot+logz^n=0i s

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  18. If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n i...

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