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The equation z^5+z^4+z^3+z^2+z+1=0 is sa...

The equation `z^5+z^4+z^3+z^2+z+1`=0 is satisfied by

A

`z=+-1`

B

`z=-1`

C

`+-1/2+isqrt3/2`

D

`1/2+-isqrt(1/2)`

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The correct Answer is:
B , C
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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. If z1,z2 are nonreal complex and |(z1+z2)/(z1-z2)|=1 then (z1)/(z2) is

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  2. If z=2+3i, then |z^2|^3 is equal to

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  3. The equation z^5+z^4+z^3+z^2+z+1=0 is satisfied by

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  4. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

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  5. If z^4= (z-1)^4 then the roots are represented in the Argand plane by...

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  6. If |z1 |=|z2|=|z3| = 1 and z1 +z2+z3 =0 then the area of the triangle ...

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  7. In the Argand plane |(z-i)/(z+i)| = 4 represents a

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  8. Suppose z1 + z2 + z3 + z4=0 and |z1| = |z2| = |z3| = |z4|=1. If z1, z2...

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  9. If arg (z-z1)/(z2-z1) = 0 for three distinct complex numbers z,z1,z2 ...

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

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  11. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

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  12. If a r g((z-2)/(z+2))=pi/4 then the locus of z is

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  13. zbarz+abarz+baraz+b=0 where binR represents a real circle of nonzero r...

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  14. Find the value of sqrt(20+48i)

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  15. If i^p=i^q where i^2=-1 then p-q is divisible by 4.

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  16. If z=(2+3i)/(3+2i), then |z|=

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  17. Find the solutions to the equation (z+i)^2 = 16.

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  18. If z is a nonreal compex number and |z|=1 then z^2+1/z^2=2 .

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  19. State true or false: If z= (cos2theta+isin2theta)/(costheta+isintheta)...

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  20. If two nonzero complex numbers z1,z2 be such that z1+z2 is real then t...

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