Home
Class 12
MATHS
(1 - omega) (1 - omega^(2)) (1 - omega^(...

`(1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega^(7)) (1 - omega^(8))` =

A

25

B

36

C

27

D

30

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

(1 + omega) (1 + omega^(2)) (1 + omega^(3)) (1 + omega^(4)) (1 + omega^(5)) (1 + omega^(6)) …. (1 + omega^(3n)) =

(1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + omega^(8)) to 2n factors =

If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)) , (2 , 2omega^(2) , 4 omega^(3)) , (3 , 3 omega^(3) , 6 omega^(4)):}| =

1 + omega + omega^(2) + ….. + omega^(300)

(1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+omega^(3n))

(1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =

If 1 , omega , omega^(2) are the cube roots of unity prove that (1 - omega + omega^(2))^(6) + ( 1 - omega ^(2) + omega)^(6) = 128 = (1 - omega + omega^(2))^(7) + ( 1 + omega - omega^(2))^(7)

If 1 , omega + omega^(2) are the cube roots of unity prove that (i) (1 - omega + omega^(2))^(6) + (1 - omega^(2) + omega)^(6) = 128 = ( 1 - omega + omega^(2))^(7) + ( 1 + omega - omega^(2))^(7) (ii) ( a+ b) ( aomega+b omega^(2))( a omega^(2) + b omega) = a^(3) + b^(3) (iii) x^(2) + 4x + 7 = 0 " where " x = omega - omega^(2) - 2 .

(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-omega^(8)+omega^(16))

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. x + isqrt(x^(4) + x^(2) + 1)) =

    Text Solution

    |

  2. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

    Text Solution

    |

  3. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

    Text Solution

    |

  4. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

    Text Solution

    |

  5. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

    Text Solution

    |

  6. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

    Text Solution

    |

  7. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

    Text Solution

    |

  8. 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...

    Text Solution

    |

  9. If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =

    Text Solution

    |

  10. If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...

    Text Solution

    |

  11. If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + ...

    Text Solution

    |

  12. If 1 , omega , omega^(2) are the cube roots of unity , then the roots...

    Text Solution

    |

  13. If omega is a complex cube root of unity , then the value of (a + b o...

    Text Solution

    |

  14. If omega is a complex cube root unity then sin { (omega^(10) + omega^(...

    Text Solution

    |

  15. If z + (1)/(z) = -1 then z^(5) + (1)/(z^(5)) =

    Text Solution

    |

  16. If (omega ne1) is a cube root of unity , then {:(1 , 1 + i+ omega^(2...

    Text Solution

    |

  17. If n (ne 3) is an integer and z = -1 + isqrt3 , then z^(2n) + 2^(n) ,...

    Text Solution

    |

  18. If |(z - 4bari)/(z-2)| = 2 then the locus of z is

    Text Solution

    |

  19. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |

  20. If |z| = sqrt2 then the point given by "3 + 4z" lies on a circle whos...

    Text Solution

    |