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If omega = cis (2pi)/(3), then number of...

If `omega = cis (2pi)/(3)`, then number of distinct roots of `|(z+1,omega,omega^(2)),(omega,z + omega^(2),1),(omega^(2),1,z+omega)|` = 0.

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

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The correct Answer is:
A
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PREMIERS PUBLISHERS-COMPLEX NUMBERS-Solution to Exercise 2.9
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  3. If |z - (3)/(z)| = 2, then the least value of |z| is

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  4. If |z| = 1, then the value of (1+z)/(1 +bar(z)).

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  9. If (z - 1)/(z + 1) is purely imaginary, then |z| is

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  10. If z = x + iy is a complex number such that |z + 2| = |z - 2|, then th...

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  11. The principal argument of (3)/(-1 + i) is

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  12. The principal argument of (sin 40^(@) + i cos 40^(@))^(5) is

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  13. If (1 + i)(1 + 2i)(1 + 3i)….(1 + ni) = x + iy, then 2.5.10…(1 + n^(2))...

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  15. The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i...

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  16. If alpha and beta are the roots of x^(2) + x + 1 = 0, then alpha^(2020...

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  17. The product of all four values of (cos"" (pi)/(3) + i sin ""(pi)/(3))^...

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