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If omega(ne 1) be a cube root of unity a...

If `omega(ne 1)` be a cube root of unity and `(1+omega^(2))^(n)=(1+omega^(4))^(n)`, then the positive value of n, is

A

2

B

3

C

4

D

5

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The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. If omega complex cube root of unity, then ((1 + omega )/(omega ^(2)...

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  2. If omega is complex cube root of unity, then the value of (1 + 2...

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  3. If omega(ne 1) be a cube root of unity and (1+omega^(2))^(n)=(1+omega^...

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  4. If omega imaginary cube root of unity , then sin {(omega ^(13) ...

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  5. If sin ^(-1) {(1)/( 2i) ( z - 3)} be the angle of a triangle and if ...

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  6. sin "" (pi)/( 900) { sum(r = 1)^(10) ( r - omega ) ( r - omega ^(2))} ...

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  7. The cube roots of unity lie on a circle

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  8. The cube roots of unity

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  9. The equation | z - omega |^(2) pm | z - omega ^(2)|^(2) = lambda repr...

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  10. If alpha and beta are the complex cube roots of unity, then alpha^...

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  11. If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omeg...

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  12. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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  13. If alpha is a complex number such that alpha^(2) + alpha + 1 =0, then ...

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  14. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

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  15. The expression x^(3p) + x^(3q - 1) + x^(3r - 2) , where p, q, r in N...

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  16. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  17. The value of sum (n = 1) ^(5) ( x ^(n) + (1)/( x^(n)))^(2) " where "...

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  18. If t^(2) + t + 1 = 0 then, the value of ( t + (1)/( t))^(2) + ( t^(...

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  19. If z^(2) + z + 1 = 0 where z is a complex number then the value of ...

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  20. The common roots of the equation z^3+2z^2+2z+1=0&z^(1985)+z^(100)+1...

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