Home
Class 11
MATHS
Find the modulus and argument of the fol...

Find the modulus and argument of the following complex number and hence express them in the polar form: `1+i`

Text Solution

Verified by Experts

`1/(1+i)`
rationalizing the denominator:
`1/(1+i)xx(1-i)/(1-i)`
`(1-i)/(1-i^2)`
...
Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos
  • DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|236 Videos

Similar Questions

Explore conceptually related problems

Find the modulus and argument of the following complex number and hence express each of them in the polar form: (1-i)/(1+i)

Find the modulus and argument of the following complex number and hence express each of them in the polar form: 1-i

Find the modulus and argument of the following complex number and hence express each of them in the polar form: (1)/(1+i)

Find the modulus and argument of the following complex number and hence express each of them in the polar form: (1+2i)/(1-3i)

Find the modulus and argument of the following complex number and hence express each of them in the polar form: (-16)/(1+i sqrt(3))

Find the modulus and argument of the following complex number and hence express each of them in the polar form: i

Find the modulus and argument of the following complex number and hence express each of them in the polar form: sqrt(3)+i

Find the modulus and argument of -4i.

Find the modulus and argument of the following complex number: (1)/(1+i)

Find the modulus and argument of following numbers :

RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. For any two complex number z1a n d\ z2 prove that: |z1+z2|geq|z1|-|z2|

    Text Solution

    |

  2. For any two complex number z1a n d\ z2 prove that: |z1-z2|geq|z1|-|z2|

    Text Solution

    |

  3. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  4. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  5. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  6. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  7. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  8. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  9. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  10. Find the modulus and argument of the following complex number and henc...

    Text Solution

    |

  11. Write (i^(25))^3 in polar form.

    Text Solution

    |

  12. Write the values of the square root of idot

    Text Solution

    |

  13. Write the values of the square root of -i.

    Text Solution

    |

  14. If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2.

    Text Solution

    |

  15. If pi<theta<2pi\ a n d\ z=1+costheta+isintheta , then write the value ...

    Text Solution

    |

  16. If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2...

    Text Solution

    |

  17. Write the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+...

    Text Solution

    |

  18. Write 1-i in polar form.

    Text Solution

    |

  19. Write -1+isqrt(3)\ in polar form.

    Text Solution

    |

  20. Write the argument of idot

    Text Solution

    |