Home
Class 11
MATHS
Express the following complex numbers in...

Express the following complex numbers in a+ib form. (b) `i^9+i^(19)`

Text Solution

Verified by Experts

i^(9)+i^(19)=i^(8+1)+i^(16+3)=(i^(4))^(2) xx i+(i^(4))^(4) xx i^(3)=1 xx i+1 xx(-i)=i+(-i)=0.
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 complex numbers in a+ib form. (c ) i^(-39)

Express the following complex numbers in a+ib form. (a) (5i) (-(3)/5i)

Write the following complex numbers in polar form 1+i

Write the following complex numbers in polar form 1-i

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

Express the following complex number in the form a+ib (1+i)-(1-6i)+(2+i) .

Convert the following complex numbers into polar form 1 - i

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

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

Write the following complex numbers in polar form ((1+7i))/((2-i)^(2))

V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express the following in the form a+ib (i) (5+sqrt(2)i)/(1-sqrt(2)i...

    Text Solution

    |

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

    Text Solution

    |

  3. Express the following complex numbers in a+ib form. (b) i^9+i^(19)

    Text Solution

    |

  4. Express the following complex numbers in a+ib form. (c ) i^(-39)

    Text Solution

    |

  5. Express the following in a+ib form 3(7+7i)+i(7+7i)

    Text Solution

    |

  6. Express the following in a+ib form (1-i)-(-1+6i)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |