Home
Class 11
MATHS
Simiplify : ((1-i)^(3))/((1-i^(3))...

Simiplify : `((1-i)^(3))/((1-i^(3))`

Text Solution

Verified by Experts

The correct Answer is:
`-2`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ICSE|Exercise Exercise (C)|21 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Exercise (D)|20 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Exercise (A)|27 Videos

  • COMPLEX NUMBER

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |34 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise CHEPTER TEST |23 Videos

Similar Questions

Explore conceptually related problems

Simiplify : (3-7i)^(2)

Simiplify : (1+ i)^(-1)

Simiplify : ((1+i)/(1-i))^(4n+1) (n is a positive integer)

Simiplify : (-(1)/(2)- (sqrt3)/(2)i)^(2)

Simplify: (1)/(i) + (1)/(i^(2)) + (1)/(i^(3)) + (1)/(i^(4))

Simplify: (1)/(i)- (1)/(i^(2)) + (1)/(i^(3)) - (1)/(i^(4))

Simiplify : (sqrt((5+12i)) + sqrt((5-12i)))/(sqrt((5+12i))-sqrt((5-12i)))

Simiplify : sqrt(-64).(3 + sqrt(-361))

Simiplify : sqrt(-(49)/(25)) sqrt(-(1)/(9))

Simplify: [i^(18) + ((1)/(i))^(25)]^(3)

ICSE-COMPLEX NUMBERS-Exercise (B)
  1. Simiplify : (3-7i)^(2)

    Text Solution

    |

  2. Simiplify : (-(1)/(2)- (sqrt3)/(2)i)^(2)

    Text Solution

    |

  3. Simiplify : ((1-i)^(3))/((1-i^(3))

    Text Solution

    |

  4. Simiplify : ((1+i)/(1-i))^(4n+1) (n is a positive integer)

    Text Solution

    |

  5. Simiplify : (sqrt((5+12i)) + sqrt((5-12i)))/(sqrt((5+12i))-sqrt((5-12...

    Text Solution

    |

  6. Prove that [((3+2i)/(2-5i))+ ((3-2i)/(2+5i))] is rational

    Text Solution

    |

  7. Show that (1+ 2i)/(3+4i) xx (1-2i)/(3-4i) is real

    Text Solution

    |

  8. Perform the indicated operation and give your answer in the form x+yi,...

    Text Solution

    |

  9. Perform the indicated operation and give your answer in the form x+yi,...

    Text Solution

    |

  10. Perform the indicated operation and give your answer in the form x+yi,...

    Text Solution

    |

  11. Perform the indicated operation and give your answer in the form x+yi,...

    Text Solution

    |

  12. Perform the indicated operation and give your answer in the form x+yi,...

    Text Solution

    |

  13. If x+ yi= (u+ vi)/(u-yi), prove that x^(2) + y^(2)=1

    Text Solution

    |

  14. Prove that : [4 + 3 sqrt(-20)]^((1)/(2)) + [4 -3 sqrt(-20)]^((1)/(2))...

    Text Solution

    |

  15. Express the following in the form a+ bi sqrt((5(2+i))/(2-i))

    Text Solution

    |

  16. Express the following in the form a+ bi ((3-i)^(2))/(2+i)

    Text Solution

    |

  17. Express the following in the form a+ bi (1+i)^(-3)

    Text Solution

    |

  18. Express the following in the form a+ bi ((4i^(3)-i)^(2))/(2i+1)

    Text Solution

    |

  19. Express the following in the form a+ bi (i-1)/(i+1)

    Text Solution

    |

  20. Express the following in the form a+ bi (2+i)/((3-i)(1+2i))

    Text Solution

    |