Home
Class 11
MATHS
Find the modulus and principal argument ...

Find the modulus and principal argument of `-4.`

Text Solution

Verified by Experts

The point `(-4, 0)` represents `z=-4+0i` lies on negative side of real axis. Therefore, principal argument of `z` is `pi`.
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 principal argument of -2-i

Find the modulus and principal argument of (1+i) and hence express it in the polar form.

Find the modulus and principal argument of the following complex number: (5)/(2)(cos30^(@)+i sin30^(@))

Find the modulus and principal argument of the following complex number: cos70^(0)+i cos20^(@)

Write the modulus and principal arguments of the complex no.z=4(cos((pi)/(4))+i sin((pi)/(4)))

The modulus and the principal asrgumentof the complex nuber (1-i)/(3+i)+4i are (A) modulus = sqrt(3) (B) modulus = 6 (C) arg=tan^-1 (18) (D) arg=tn^-1 (3/4)

Find the principal argument of (-2i).

Find the modulus and argument of -4i.

Find the modulus,argument and the principal argument of the complex numbers: a z=1+cos((10 pi)/(9))+i sin((10 pi)/(9))(b)z=-2(cos30^(@)+i sin30^(@))

RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Find the modulus and principal argument of (1+i) and hence express it ...

    Text Solution

    |

  2. Find the modulus and principal argument of -2i

    Text Solution

    |

  3. Find the modulus and principal argument of -4.

    Text Solution

    |

  4. Express the following complex number in the polar form:(1+i)/(1-i)

    Text Solution

    |

  5. Express the following complex number in the polar form:(2+6sqrt(3)i)/(...

    Text Solution

    |

  6. Put the complex number (1+7i)/((2-i)^2) in the form r(costheta+i\ sint...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. For any two complex number z1a n d\ z2 prove that: |z1+z2|lt=|z1|+|z2|

    Text Solution

    |

  11. For any two complex number z1a n d\ z2 prove that: |z1-z2|lt=|z1|+|z2|

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |