Home
Class 12
MATHS
4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) ...

`4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2))^(365) =`

A

`1 - isqrt3`

B

`-1 + isqrt3`

C

`isqrt3`

D

`-isqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
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

The value of ((-1 + isqrt3)/(2))^(36) + ( (-1 - isqrt3)/(2))^(36) =

(1+isqrt3)^(9)=

The value of ((- 1 + isqrt3)/(2))^(100) + ((- 1 - isqrt3)/(2))^(100) is equal to

((-1+isqrt3)/(2))^(6)+((-1-isqrt3)/(2))^(6)

((-1+isqrt3)/(2))^(3n)+((-1-isqrt3)/(2))^(3n)

((1)/(2), (2)/(2) )/(1^3) + ((2)/(2) , (3)/(2) )/( 1^3 + 2^3) + ((3)/(2) , (4)/(2) ) / (1^(3) + 2^(3) + 3^(3) ) + ..... n terms

If n is a multiple of 3, then ((-1+isqrt3)/(2))^(n)+((-1-isqrt3)/(2))^(n)

(1)/(1.2)-(1)/(2.3)+(1)/(3.4)-(1)/(4.5)+....=

x + isqrt(x^(4) + x^(2) + 1)) =

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The complex equation |z + 1- i| = |z + i-1| represents a

    Text Solution

    |

  17. If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i/...

    Text Solution

    |

  18. If |z + barz| + |z - barz| = 2 then z lies on

    Text Solution

    |

  19. If |z^(2) - 1| = |z|^(2) + 1 , then z lies on

    Text Solution

    |

  20. If omega is a complex cube root of unity , then sum(k = 1)^(6) ( omega...

    Text Solution

    |