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Complex Numbers question

2017 · Shift 0 · Q30
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  5. /2017 · Shift 0 · Q30

Complex Numbers question

2017 · Shift 0 · Q30

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let ω\omegaω be a complex number such that 2 ω\omegaω+ 1 = z where z =−3\sqrt {-3}−3​. If ∣1111−ω2−1ω21ω2ω7∣=3k\left| {\begin{matrix} 1 & 1 & 1 \\ 1 & { - {\omega ^2} - 1} & {{\omega ^2}} \\ 1 & {{\omega ^2}} & {{\omega ^7}} \\ \end{matrix} } \right| = 3k​111​1−ω2−1ω2​1ω2ω7​​=3k, then k is equal to :
  1. A
    z
  2. B
    -1
  3. C
    1
  4. D
    -z
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