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

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

A

-1

B

0

C

`-i`

D

i

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
  1. The point z(1),z(2),z(3),z(4) in the complex plane are the vertices o...

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  2. if the complex no z1 , z2 and z3 represents the vertices of an equ...

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

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  4. The complex number sin(x)+icos(2x) and cos(x)-isin(2x) are conjugate t...

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  5. If z1 and z2 are two complex number and a, b, are two real number then...

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  6. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

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  7. If z ne 0 be a complex number and "arg"(z)=-pi//4, then

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  8. Let za n dw be two non-zero complex number such that |z|=|w| and a r g...

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  9. If |z|=1 and omega=(z-1)/(z+1) (where z in -1), then Re(omega) is

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  10. Let z and w be two complex numbers such that |Z| <= 1, |w|<=1 and |z -...

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  11. The complex numbers z = x + iy which satisfy the equation |(z-5i)/(z+5...

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  12. The inequality |z-4| lt |z-2| represents

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  13. If z1 and z2 are two complex numbers such that |(z1-z2)/(z1+z2)|=1, th...

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  14. For any complex number z , find the minimum value of |z|+|z-2i|dot

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  15. If x=2+ 5i then the value of x^3-5x^2+33x-19 is

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  16. If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex ...

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  17. The real part of z = (1)/(1-cos theta + i sin theta) is

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  18. If the imaginary part of (2z + 1)/(iz + 1) is -4, then the locus of th...

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  19. Show that the area of the triagle on the argand plane formed by the co...

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  20. If omega is a complex cube root of unity, then a root of the equation ...

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