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if z^2+z+1=0, then the value of (z+1/z)^...

if `z^2+z+1=0`, then the value of `(z+1/z)^2+(z^2+1/z^2)^2+(z^3+1/z^3)^2+......+(z^21+1/z^21)^2` is

A

21

B

42

C

0

D

None of these

Text Solution

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The correct Answer is:
B
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. If z1 and z2 be two complex numbers such that abs(z1+z2)=abs(z1) +abs(...

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  3. if z^2+z+1=0, then the value of (z+1/z)^2+(z^2+1/z^2)^2+(z^3+1/z^3)^2+...

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  4. If omega is the imaginary cube root of 1 then prove that (a+bomega+com...

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  5. If z1=a+ib and z2=c+id, a, b, c, dinR, be two complex numbers such tha...

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  6. The sum of the series 2(omega+1)(omega^2+1)+3(2omega+1)(2omega^2+1)+...

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  7. If abs(z-2-2i)=1, then the minimum value of absz is

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  8. The point represented by the complex number 2-i is rotated about origi...

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  9. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

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  10. For all complex numbers z1, z2 satisfying absz1=12 and abs(z2-3-4i)=5,...

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  11. if z and w are two non-zero complex numbers such that absz=absw and ar...

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  12. If z1, z2, z3, z4 represent the vertices of a rhombus in anticlockwise...

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  13. If (x+iy)^7=a+ib, then (y+ix)^7 is equal to

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  14. (1+i)^(n1)+(1+i^3)^(n1)+(1+i^5)^(n2)+(1+i^7)^(n2) is a real number if

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  15. The value of underset(k=1)overset10sum(-sin((2kpi)/11)+icos((2kpi)/11)...

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  16. If amp(z1z2)=0 and absz1=absz2=1, then

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  17. if z1, z2, z3 are the vertices pf an equilateral triangle inscribed in...

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  18. if amp (z-1)/(z+1)=pi/3, then the locus of z is

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  19. If e^(ialpha)=cosalpha+isinalpha, then for the DeltaABC, the value of ...

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