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If z(1), z(2), z(3) be vertices of an e...

If `z_(1), z_(2), z_(3)` be vertices of an equilateral triangle occurring in the anticlockwise sense then,

A

`1+i sqrt(3)`

B

`1-i sqrt(3)`

C

1

D

-1

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  4. If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

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  5. If omega is a complex cube root of unity then the value of (p++q omega...

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  6. If z is a complex number in the argand plane, then the equation |z-2|+...

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  8. If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega, then x y z=

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  9. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

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  10. If omega is the cube root of unity of the equation z^(3)=1, then the v...

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  13. If ((1+i sqrt(3))/(1-i sqrt(3)))^(n) is an integer, then n=

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  14. The value of (1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=

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  15. The real value of thetafor which the expression is (1+icos theta)/(1...

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  16. Let z=x+ iy then z . bar(z)=0 if and only if

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  17. (3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta...

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