Home
Class 12
MATHS
The modulus and amplitude of (1 + i)/(1...

The modulus and amplitude of `(1 + i)/(1-i)` are

A

`sqrt2,pi//3`

B

`1, pi//4`

C

`-1, -pi//2`

D

`1, pi//2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA 2016

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2002

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS (MCQ.s)|50 Videos

Similar Questions

Explore conceptually related problems

The modulus and amplitude of (1 + 2i)/(1-(1-i)^(2)) are

The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively

The modulus and amplitude of e^((2 + i pi/3)) is

The modulus of amplitude of (1+i sqrt(3))^(8) are respectively

The amplitude of (1 + i)^(5) is

Find the modulus of (1+i)/(1-i)

The amplitude of (1+i)/(1+sqrt(3) i) is

The amplitude of (-1)^(5) i is

The value of ((1+i)/(1-i))^(4 n)=

The amplitude of the conjugate of (1+i)/(1-i) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2001-Mathematics
  1. The unit vector perpendicular to the vectors hat(i) -hat(j) + hat(k), ...

    Text Solution

    |

  2. If vec(a) = 3vec(i) - 2vec(j) + 2vec(i), vec(b) = 6vec(i) + 4vec(j) - ...

    Text Solution

    |

  3. The modulus and amplitude of (1 + i)/(1-i) are

    Text Solution

    |

  4. 1, omega, omega^(2) are cube roots of unit x, then their product is

    Text Solution

    |

  5. In the argand diagram the points representing the complex numbers 7 + ...

    Text Solution

    |

  6. Equations of the separate lines of the pair of lines whose equation is...

    Text Solution

    |

  7. The angle between the lines x^(2) + 4xy + y^(2) = 0 is

    Text Solution

    |

  8. The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x +...

    Text Solution

    |

  9. The vertex of the parabola (y-2)^(2) = 16(x-1) is

    Text Solution

    |

  10. Equation of the parabola with its vertex at (1,1) and focus (3,1) is

    Text Solution

    |

  11. Equation of the tangent at (-4,-4) " on " x^(2) = -4y is

    Text Solution

    |

  12. The distance between the foci is 16, eceentricity =1//2, the length of...

    Text Solution

    |

  13. The abscissae of the points where the tangent to curve y = x^(3) - 3x^...

    Text Solution

    |

  14. The function f(x) = 2x^(3) -15x^(2) + 36x + 4 is maximum at

    Text Solution

    |

  15. The value of the int (1)/((x-5)^(2)dx is

    Text Solution

    |

  16. The value of the int(2dx)/(sqrt(1-4x^(2))) is

    Text Solution

    |

  17. The order and degree of the differential equation x (d^(2)y)/(dx^(2)) ...

    Text Solution

    |

  18. Let p be the proposition. Mathematics is interesting and let q be the ...

    Text Solution

    |

  19. If a clock strikes the appropriate number of times at each hour, then ...

    Text Solution

    |

  20. If A and B are two points of a circle of radius r with centre at the p...

    Text Solution

    |