Home
Class 12
MATHS
If ((1 + i)/(1 - i))^(3) - ((1 - i)/(1 +...

If `((1 + i)/(1 - i))^(3) - ((1 - i)/(1 + i))^(3) = x + iy` then `(x, y) = …….`

A

`(0, -2)`

B

`(-2,0)`

C

`(0,2)`

D

`(2,0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.1|6 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.2|3 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

Similar Questions

Explore conceptually related problems

Simplify ((1 + i)/(1 - i))^(3) - ((1 - i)/( 1+ i))^(3) .

If ((1+i)/(1-i))^(x)=1 , then

If (1 + i)(1 + 2i)(1 + 3i)….(1 + ni) = x + iy, then 2.5.10… (1 + n^(2)) is

(1+3i)(1-3i)

The value of (1 + i)( 1 + i^(2) ) (1 + i^(3)) (1 + i^(4)) is

The modular of ((-1 + i)(1 - i))/(1 + isqrt(3)) is _____

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

|(1+7i)/(4+3i)|=

FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. If x = a + b, y = a omega + b omega^2, z = aomega^2 + b omega, show th...

    Text Solution

    |

  2. ((1 - i)/(1+ i))^(100) = a + ib then (a,b) is ……….

    Text Solution

    |

  3. If ((1 + i)/(1 - i))^(3) - ((1 - i)/(1 + i))^(3) = x + iy then (x, y) ...

    Text Solution

    |

  4. Evaluate i^(60)

    Text Solution

    |

  5. Fill in the blanks of the following : For any two complex numbers z1...

    Text Solution

    |

  6. Multiplicative inverse of 1 + i is ………..

    Text Solution

    |

  7. arg(z) + arg(barz) (z != 0) is ………..

    Text Solution

    |

  8. If |z| = 4 and arg(z) = (5pi)/6, then z = …………..

    Text Solution

    |

  9. If a = cos 2alpha + i sin 2 alpha, b = cos 2 beta + i sin 2 beta and c...

    Text Solution

    |

  10. If p +iq = (a + ib)/(a - ib) then p^2 + q^2 = …………

    Text Solution

    |

  11. Evaluate i^(78)

    Text Solution

    |

  12. If a =cos alpha - i sin alpha, b= cos beta - i sin beta, c = cos gamma...

    Text Solution

    |

  13. If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :

    Text Solution

    |

  14. The conjugate of i^(13) + i^(14) + i^(15) + i^(16) is …………

    Text Solution

    |

  15. If -i + 2 is one root of the equation ax^2 - bx + c = 0, then the othe...

    Text Solution

    |

  16. The equation having 4 + 3i and 4 - 3i as root is ………..

    Text Solution

    |

  17. If 2−i is one root of the equation ax^2+bx+c=0, and a,b,c are rational...

    Text Solution

    |

  18. If -i+3 is a root of x^(2)-6x+k=0. Then the value of k is :

    Text Solution

    |

  19. If omega is a cube root of unity, then the value of (1 - omega + omega...

    Text Solution

    |

  20. If omega is the cube root of unity, then then value of (1 - omega) (1 ...

    Text Solution

    |