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Given alpha,beta, respectively, the fift...

Given `alpha,beta,` respectively, the fifth and the fourth non-real roots of units, then find the value of `(1+alpha)(1+beta)(1+alpha^2)(1+beta^2)(1+alpha^4)(1+beta^4)`

A

`alpha`

B

`beta`

C

`alpha beta`

D

0

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER
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  2. (5 + i sin theta)/(5-3i sin theta) is a real number when

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  3. Two points P and Q in the Argand diagram represent z and 2z+ 3 +i. If ...

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  4. Let z be a complex number such that |z| = 2, then maximum possible val...

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  5. If i = sqrt(-1), then 4 + 3 (-(1)/(2) + i(sqrt(3))/(2))^(127)+5(-(1)/(...

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  6. The real part of a complex number z having minimum principal argument ...

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  7. Show that the area of the triangle on the Argand diagram formed by the...

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  8. Two circles in the complex plane are {:(C(1) : |z-i|=2),(C(2) : |z-1...

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  9. If z = i(i + sqrt(2)), then value of z^(4) + 4z^(3) + 6z^(2) + 4z is

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  10. Suppose z is a complex number such that z ne -1, |z| = 1 and arg(z) = ...

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  11. If |z(1)| = |z(2)| = |z(3)| = 1 and z(1) + z(2) + z(3) = sqrt(2) + i, ...

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  12. Let S = {z in C: z(iz(1) - 1) = z(1) +1, |z(1)| lt 1}. Then, for all z...

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  13. If (4 + 3i)^(2) = 7 + 24i, then a value of (7 + sqrt(-576))^(1//2) - (...

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  14. Let A = {z in CC: |z| = 25) and B = {z in CC: |z +5+12i|= 4}. Then the...

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  15. If z(1),z(2) and z(3) are three distinct complex numbers such that |z(...

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  16. The locus of the point w = Re(z) + 1/z , where |z|=3, in complex plan...

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  17. Let z(ne -1) be any complex number such that |z| = 1. Then the imagina...

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  18. Let u = (1)/(2) (-1 + sqrt(3)i) and z = u - u^(2) - 2. Then the value ...

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