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If z and omega are two non-zero complex...

If z and `omega` are two non-zero complex numbers such that `|zomega| =1` and arg (z) - arg `(omega) = (pi)/(2)` then `barz omega` is equal to

A

1

B

`-1`

C

`i`

D

`-i`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
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  4. If z is a complex number of unit modulus and argument theta then, arg ...

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  5. sqrt(4ab - 2i (a^(2) - b^(2) ) =

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  7. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

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  8. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

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  10. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

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  11. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

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  12. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

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  13. 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...

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  14. If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =

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  15. If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...

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

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  17. If 1 , omega , omega^(2) are the cube roots of unity , then the roots...

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  18. If omega is a complex cube root of unity , then the value of (a + b o...

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