Home
Class 12
MATHS
If 1,omega,omega^(2) are three cube root...

If `1,omega,omega^(2)` are three cube roots of unity, then `(1-omega+omega^(2))(1+omega-omega^(2))` is

A

2

B

4

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2014

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2017

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If 1,omega,omega^(2) are the cube roots of unity then : (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(8)) is

If 1, omega , omega^(2) are the cube roots of unity then (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8)) is equal to

If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^(n),omega^(2n)],[omega^(n),omega^(2n),1],[omega^(2n), 1, omega^(n)]]

If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(8))=

If 1, omega,omega^2 are the cube roots of unity the value of (1 - omega + omega^2)^5 + ( 1 + omega - omega^2)^5 is equal to

If 1,omega,omega^(2) are cube roots of unity, then the value of (1+omega)^(3)-(1+omega^(2))^(3) is :

1, omega, omega^(2) are cube roots of unit x, then their product is

If omega is a cube root of unity (1-2 omega+omega^(2))^(6)=

If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 + w-w^(2)) is _______

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2015-MATHEMATICS
  1. int (sin^(2)x)/(1+cos x) dx is equal to

    Text Solution

    |

  2. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  3. If 1,omega,omega^(2) are three cube roots of unity, then (1-omega+omeg...

    Text Solution

    |

  4. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

    Text Solution

    |

  5. The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...

    Text Solution

    |

  6. The value of tan(1^(@)) +tan(89^(@)) is .

    Text Solution

    |

  7. If ((x+1)^(2))/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) then "cosec"^(-1) (1/A...

    Text Solution

    |

  8. The remainder obtained when 1 ! +2 ! +3 ! +….+11! is divided by 12 is

    Text Solution

    |

  9. If alpha lt 2 sin^(-1) x +cos^(-1)x le beta , then

    Text Solution

    |

  10. If [(0,1),(1,0)] then A^(2) is equal to

    Text Solution

    |

  11. The function f(x) = [x] where [x] is the greatest integer function is ...

    Text Solution

    |

  12. If y = log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  13. The two curves x^(3) - 3xy^(2) +2 = 0 and 3x^(2)y-y^(3) = 2

    Text Solution

    |

  14. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  15. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

    Text Solution

    |

  16. The order of differential equation of all circles of given radius "...

    Text Solution

    |

  17. Find the general solution of the differential equation x (dy)/(dx)+2y=...

    Text Solution

    |

  18. If sinx + sin y=(1)/(2) and cos x+cos y=1, then tan (x+y)=

    Text Solution

    |

  19. If A = [(alpha,2),(2,alpha)]and A^(3)=27 then alpha =

    Text Solution

    |

  20. If P = |(x,1),(1,x)|and Q = |(x,1,1),(1,x,1),(1,1,x)| then (dQ)/(dx) =

    Text Solution

    |