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If z = cos (pi)/(4) + i sin (pi)/(6), th...

If z = cos `(pi)/(4) + i` sin `(pi)/(6)`, then

A

|z| = 1 , arg (z) = `(pi)/(4)`

B

|z| = 1, arg (z) = `(pi)/(6)`

C

|z| = `(sqrt(3))/(2)`, arg (z) = `(5pi)/(24)`

D

`|z| = (sqrt(3))/(2), arg(z) = tan^(-1)" "((1)/(sqrt(2)))`

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SURA PUBLICATION-COMPLEX NUMBERS-ADDITIONAL QUESTIONS (1 MARK)
  1. The value of (1 + i)(1 + i^(2))(1 + i^(3)) (1 + i^(4)) is

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  2. If sqrt(a + ib) = x + iy, then possible value of sqrt(a - ib) is

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  3. If i^(2) = -1, then i^(1) + i^(2) + i^(3) + ….. + up to 1000 terms is ...

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  4. If z = cos (pi)/(4) + i sin (pi)/(6), then

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  5. If a = cos theta + i sin theta, then (1 + a)/(1 -a)

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  6. The principal value of the amplitude fo (1 + i) is

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  7. The least positive integer n such that ((2i)/(1 + i))^(n) is a positiv...

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  8. If a = 1 + i, then a^(2) equals

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  9. If z = (1)/((2 + 3i)^(2)) then |z| =

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  10. If z = 1 - cos theta+ i sin theta , then |z| =

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  11. If z = (1)/(1 - cos theta - i sin theta), the Re (z)=

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  12. If x + iy = (3 + 5i)/(7-6i), they y =

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  13. The amplitude of (1)/(i) is equal to

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  14. The value of (1 + i)^(4) + (1 -i)^(4) is

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  15. The complex number z which satisfies the condition |(i+z)/(i-z)| = 1 l...

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  16. If z = a + ib lies in III quadrant then (bar(z))/(z) also lies in the ...

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  17. (1 + e^(-i theta))/(1 + e^(i theta))=

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  18. If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3),thenz(1), z(2) …. Z(6)...

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  19. If x = cos theta + isin theta, then the value of x^(n) + (1)/(x^(n)) i...

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  20. If omega is the cube root of unity, then then value of (1 - omega) (1 ...

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