Home
Class 12
MATHS
Write the following complex numbers in t...

Write the following complex numbers in the polar form :
`1- i`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2) { co s (-pi)/4 + i si n (-pi/4)}`
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

Express the following complex numbers in the polar form : 1 - i

Express the following complex numbers in the polar form : -1 - i

Express the following complex numbers in the polar form : 2 + sqrt(3) i

Express the following complex numbers in the polar form. (i) (1 + i)/(1 - i)

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

Convert each of the complex number in the polar form: i

Convert each of the complex number in the polar form: -3

Convert each of the complex number in the polar form: -1-i

Convert each of the complex number in the polar form: -1+i

Find the modulus and argument of the following complex numbers and convert them in polar form. (1 + 2i)/(1 - 3i)

FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. P represents the variable complex number z. Find the locus of P, if Im...

    Text Solution

    |

  2. P represents the variable complex number z find the locus of z if : ...

    Text Solution

    |

  3. Write the following complex numbers in the polar form : 1- i

    Text Solution

    |

  4. Find the modulus and principal argument of (1 + i) and hence express i...

    Text Solution

    |

  5. Express the following complex numbers in the polar form. (i) (1 + i)...

    Text Solution

    |

  6. Express the following complex numbers in the polar form : 2 + sqrt(3) ...

    Text Solution

    |

  7. Find the modulus and principal argument of the following complex numbe...

    Text Solution

    |

  8. Express the following complex numbers in the polar form : -1 - i

    Text Solution

    |

  9. Express the following complex numbers in the polar form : 1 - i

    Text Solution

    |

  10. Evaluate i^(50)

    Text Solution

    |

  11. Evaluate i^(59)

    Text Solution

    |

  12. Prove that : (1 + i)^(4n) and (1 + i)^(4n + 2) are real and purely ima...

    Text Solution

    |

  13. If x = cos alpha + i sin alpha , y = cos beta + i sin beta, prove that...

    Text Solution

    |

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

    Text Solution

    |

  15. Solve : x^4 + 4 = 0

    Text Solution

    |

  16. If x = a + b, y = a omega + b omega^2, z = aomega^2 + b omega, show th...

    Text Solution

    |

  17. ((1 - i)/(1+ i))^(100) = a + ib then (a,b) is ……….

    Text Solution

    |

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

    Text Solution

    |

  19. Evaluate i^(60)

    Text Solution

    |

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

    Text Solution

    |