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If w is a complex cube root of unity, th...

If `w` is a complex cube root of unity, then value of `=|a_1+b_1w a_1w^2+b_1c_1+b_1 w a_2+b_2w a_2w^2+b_2c_2+b_2 w a_3+b_3w a_3w^2+b_3c_3+b_3 w |` is a. 0 b. `-1` c. `2` d. none of these

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Step by step text solution for If w is a complex cube root of unity, then value of =|a_1+b_1w a_1w^2+b_1c_1+b_1 w a_2+b_2w a_2w^2+b_2c_2+b_2 w a_3+b_3w a_3w^2+b_3c_3+b_3 w | is a. 0 b. -1 c. 2 d. none of these by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • If omega complex cube root of unity, then ((1 + omega )/(omega ^(2)))^(3) =

    A
    1
    B
    `-1`
    C
    `omega`
    D
    `omega^(2)`

  • if w is a complex cube root to unity then value of Delta =|{:(a_(1)+b_(1)w,,a_(1)w^(2)+b_(1),,c_(1)+b_(1)bar(w)),(a_(2)+b_(2)w,,a_(2)w^(2)+b_(2),,c_(2)+b_(2)bar(w)),(a_(3)+b_(3)w,,a_(3)w^(2)+b_(3),,c_(3)+b_(3)bar(w)):}| is

    A
    0
    B
    -1
    C
    2
    D
    none of these

  • If omega is complex cube root of unity, then the value of (1 + 2 omega )^(-1) + (2 + omega )^(-1) - (1 + omega ) ^(-1) =

    A
    2
    B
    1
    C
    0
    D
    `-1`

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