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sum(k=1)^6 (sin(2pik)/7 -icos(2pik)/7)=?...

`sum_(k=1)^6` `(sin(2pik)/7 -icos(2pik)/7)=?`

A

`-1`

B

0

C

`-i`

D

`i`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. If z1=a + ib and z2 = c + id are complex numbers such that |z1|=|z2|=...

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  2. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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  3. sum(k=1)^6 (sin(2pik)/7 -icos(2pik)/7)=?

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  4. The equation barbz+b barz=c, where b is a non-zero complex constant an...

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  5. If |a(i)| lt 1, lambda(i) ge 0 for i=1,2,……n and lambda(1)+lambda(2)+…...

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  6. For any two complex numbers, z(1),z(2) and any two real numbers a and ...

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  7. Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)...

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  8. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(1-bar...

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  9. The points representing cube roots of unity

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  10. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+...

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  11. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

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  12. If n is a positive integer greater than unity z is a complex number sa...

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  13. If n is a positive integer greater than unity z is a complex number sa...

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  14. If at least one value of the complex number z=x+iy satisfies the condi...

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

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  16. The center of a regular polygon of n sides is located at the point z=0...

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  17. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

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  18. For any complex number z, the minimum value of |z|+|z-1|

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  19. The inequality |z-4| < |z-2| represents

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  20. Number of non-zero integral solution of the equation |1-i| ^(n)=2^(n),...

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