Home
Class 11
MATHS
Express the following in the form a+ib ...

Express the following in the form a+ib
(i) `(5+sqrt(2)i)/(1-sqrt(2)i)`
(ii) `(i)^(-35)`

Text Solution

Verified by Experts

((1)/(5)+(i) (2)/(5))-(4+(i) (5)/(2))
=(1)/(5)+(i) (2)/(5)-4-(i) (5)/(2)
=(1)/(5)-4+(i)((2)/(5) -(5)/(2)).
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 the form a+ib (i) (4i) ((1)/7i)

Express the following in the form a+ib (ii) (2i) (-3i) ((6)/7i)

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. (1-i)^4

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

Express the following in a+ib form (7-i)(2+7i)

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

Express the following in a+ib form (2-4i)+(5+3i)

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

V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express (-sqrt(3)+sqrt(-2))(2 sqrt(3)-i) in the form of a+i b

    Text Solution

    |

  2. Find the multiplicative inverse of the following, 2-3i

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |