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If 1,omega , omega^2 are the cube roots...

If `1,omega , omega^2` are the cube roots of unity , then `Delta=|(1,omega^n , omega^(2n)),(omega^n , omega^(2n), 1),(omega^(2n), 1, omega^n)|` is equal to :

A

`omega^(2)`

B

0

C

1

D

`omega`

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The correct Answer is:
B
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
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  7. If C(ij) is the cofactor of the element a(ij) of the determinant |{:(2...

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  10. If |{:(x^(2) +x , 3x - 1 , -x + 3),(2x +1 , 2 + x^(2) , x^(3) - 3),(x ...

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  11. Matrix M(r) is defined as M(r) = ({:(r,r-1),(r-1,r):}), r in N. The v...

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  13. If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1,...

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  14. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

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  15. If f(x) = |{:(cos^(2)x, cosx.sinx, -sin x),(cos x sinx ,sin^(2)x ,cos ...

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  16. If plambda^(4) + q lambda^(3) + r lambda^(2) + s lambda + t = |{:(b^(...

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  17. If a,b,c are in A.P then the value of |[x+1, x+2, x+a] , [x+2, x+3, x+...

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  20. The value of the determinant |((a^x+a^-x)^2, (a^x-a^-x)^2, 1),(b^x+b^-...

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