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Let omega be a complex number such that ...

Let `omega` be a complex number such that `2omega+1=z` where `z=sqrt(-3)`. If `|{:(1,1,1),(1,-omega^(2)-1,omega^(2)),(1,omega^(2),omega^(7))|=3k`, then k is equal to

A

1

B

`-z`

C

z

D

`-1`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR
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  18. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

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  19. the value of the determinant |{:((a(1)-b(1))^(2),,(a(1)-b(2))^(2),,...

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  21. If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then

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