Home
Class 11
MATHS
Express the following in a+ib form. [(1/...

Express the following in a+ib form. `[(1/3+i7/3)+(4+i1/3)]-[-4/3+i]`

Text Solution

Verified by Experts

[((1)/(3)+(i) (7)/(3))+(4+(i) ((I))/(3))]-((-4)/(3)+(i))=[(1)/(3)+4+(i)((7)/(3)+(1)/(: 3))-(-4)/(3)-(i)].
.=(1)/(3)+4+(4)/(3)+(i)((7)/(3)+(1)/(3)-1)=(1+12+4)/(3)+(i) (7+1-3)/(3)=(17)/(3)+(5)/(3)i.
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEORM

    V PUBLICATION|Exercise QUESTIONBANK|74 Videos

  • CONIC SECTIONS

    V PUBLICATION|Exercise Question Bank|88 Videos

Similar Questions

Explore conceptually related problems

Express the following in a+ib form (1/3+3i)^3

Express the following in a+ib form. (-2-1/3i)^3

Express the following in a+ib form. (1-i)^4

Express the following in a+ib form i^(99)

Express the following in a+ib form (5-3i)^2

Express the following in a+ib form. (6+3i)/(2-i)

Express the following in a+ib form. (3+2i)/(5+i)

Express the following in a+ib form. (1+i)/(1-i)

Express the following in a+ib form (-5i)(1/8i)

Express the following in a+ib form. (2-4i)/(1-3i)

V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express the following in a+ib form (1-i)-(-1+6i)

    Text Solution

    |

  2. Express the following in a+ib form (1/5+i2/5)-(4+5/2i)

    Text Solution

    |

  3. Express the following in a+ib form. [(1/3+i7/3)+(4+i1/3)]-[-4/3+i]

    Text Solution

    |

  4. Express the following in a+ib form. (1-i)^4

    Text Solution

    |

  5. Express the following in a+ib form (1/3+3i)^3

    Text Solution

    |

  6. Express the following in a+ib form. (-2-1/3i)^3

    Text Solution

    |

  7. Find the multiplicative inverse of the following complex number 4-3i

    Text Solution

    |

  8. Express each of the complex number given in the questionsqrt(5)+3i

    Text Solution

    |

  9. Express each of the complex number given in the question -(i)

    Text Solution

    |

  10. Express the following expression in form of a+ib: ((3+i sqrt(5))(3-i s...

    Text Solution

    |

  11. Represent the complex number z=1+isqrt3 in the polar form.

    Text Solution

    |

  12. Convert the complex number (-16)/(1+i sqrt(3)) into polar form.

    Text Solution

    |

  13. Find the modulus and argument of the following complex number z = -1 ...

    Text Solution

    |

  14. Represent each of the following numbers in polar form. -sqrt3 + i

    Text Solution

    |

  15. Convert the following complex numbers into polar form 1 - i

    Text Solution

    |

  16. Convert the following complex numbers into polar form -1 + i

    Text Solution

    |

  17. Convert the following complex numbers into polar form -1 -i

    Text Solution

    |

  18. Convert the following complex numbers into polar form -3

    Text Solution

    |

  19. Write polar form of the complex number z=sqrt3+i

    Text Solution

    |

  20. express the complex number i in the polar form.

    Text Solution

    |