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JEE Main 2017

JEE Main 2017 Mathematics question on Matrices and Determinants

Let ω\omega be a complex number such that 2ω+1=z2\omega + 1 = z, where z=−3z = \sqrt{-3}. If ∣1111−ω2−1ω21ω2ω7∣=3k\begin{vmatrix} 1 & 1 & 1 \\ 1 & -\omega^2 - 1 & \omega^2 \\ 1 & \omega^2 & \omega^7 \end{vmatrix} = 3k, then kk is equal to
  1. A.
    −z-z
  2. B.
    zz
  3. C.
    −1-1
  4. D.
    11
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Correct option: A

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