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If z=-1, the principal value of arg. (z^...

If `z=-1`, the principal value of arg. `(z^(2//3))` is equal to :

A

`(pi)/(3)`

B

`(2pi)/(3)` or `2pi`

C

`(10pi)/(3)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
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  7. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

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  8. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

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  9. If |z| lt 4, then |iz+3-4i| is less than :

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  10. The equation not representing a circle is given by

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  12. If omega is an imaginary cube root of unity, then the value of (1)/(1+...

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  13. In complex plane, the equation |z+barz|=|z-barz| represents:

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  14. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

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  17. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=z(2) , then z=x+iy ...

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  18. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

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  19. If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the points representing z(1),z(2)...

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  20. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

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