Let w be a complex number such that 2w + 1 = z where z = sqrt(–3) . If

|1 1 1 |
|1 -w^2– 1 w^2 | = 3k,
|1 w^2 w^7 |

then k is equal to :-
(1) 1 (2) –z (3) z (4) –1

Note : This is a determinant:

|1 1 1 |
|1 -w^2– 1 w^2 | = 3k,
|1 w^2 w^7 |

Meghendra Agrawal , 7 Years ago

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