Home
Class 12
MATHS
If 1,omega,omega^(2) are cube roots of u...

If `1,omega,omega^(2)` are cube roots of unity, then `|(1,omega^(n),omega^(2n)),(omega^(2n),1,omega^(n)),(omega^(n),omega^(2n),1)|` has value

A

0

B

`omega`

C

`omega^(2)`

D

`omega+omega^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2007

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|100 Videos

  • QUESTION PAPER 2009

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

If omega is a cube root of unity then the value of |(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)| is -

If 1, omega , omega^2 are the three cube roots of unity, then (1-omega+omega^2)(1-omega^2+omega^4)(1-omega^4+omega^8) ..... to 2n factors=

If omega be an imaginary cube root of unity, show that, (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))=9

If omega is the complex cube root of unity, then find 1/omega^77

If omega is the complex cube root of unity, then find (1-omega)(1-omega^5)

If omega is the complex cube root of unity, then find (1+omega)(1+omega^5)

If omega is the complex cube root of unity, then find (1+omega)(1+omega^2) dot

If omega is the complex cube root of unity, then find (1-omega)(1-omega^2) dot

If omega is the complex cube root of unity, then find (1+omega^2)(1+omega^4)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. The coefficient of x^(-10) in (x^(2)-(1)/(x^(3)))^(10) is

    Text Solution

    |

  2. If the matrix [(a,b),(c,d)] is commutative with the matrix [(1,1),(0,1...

    Text Solution

    |

  3. If 1,omega,omega^(2) are cube roots of unity, then |(1,omega^(n),omega...

    Text Solution

    |

  4. Let A={1,2,3} and B={2,3,4}, then which of the following relations is ...

    Text Solution

    |

  5. One possible condition for the three points (a,b),(b,a) and (a^(2),-b^...

    Text Solution

    |

  6. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

    Text Solution

    |

  7. Find the following: int1^4abs[x-2]dx

    Text Solution

    |

  8. Find int0^(pi/2) logtanxdx

    Text Solution

    |

  9. Find int 1/sqrt(2x-x^2)dx

    Text Solution

    |

  10. If h(x)=(x^(3)-a^(3))/(x-a), then find h(a).

    Text Solution

    |

  11. The value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5), where om...

    Text Solution

    |

  12. The degree of the differential equation [1+((dy)/(dx))^(2)]^(5//3)=(d^...

    Text Solution

    |

  13. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  14. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

    Text Solution

    |

  15. The value of the integral int(0)^(2)|x^(2)-1|dx is

    Text Solution

    |

  16. If x=e^(t)sint, y=e^(t)cost then (dy)/(dx) at t=pi is

    Text Solution

    |

  17. The value of (dy)/(dx) at x=(pi)/(2), where y is given by y=x^(sinx)+s...

    Text Solution

    |

  18. The value of int(0)^(pi)|cosx|dx is

    Text Solution

    |

  19. The value of int(-3)^(3)(ax^(5)+bx^(3)+cx+k)dx, where a, b, c, k are c...

    Text Solution

    |

  20. The value of the integral int(-a)^(a)(xe^(x^(2)))/(1+x^(2))dx is

    Text Solution

    |