Home
Class 12
MATHS
Express in the form ((I+i)^2)/(3-i)...

Express in the form `((I+i)^2)/(3-i)`

Text Solution

Verified by Experts

`((I+i)^2)/(3-i)=((1+i^2+2i)(3+i))/((3-i)(3+i))`
`(2i(3+i))/(9-i^2)=(6i+2i^2)/(9+i)=(6i-2)/(10)`
`(-2)/(10)+(6i)/(10)=- 1/5+(3i)/5`
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos

Similar Questions

Explore conceptually related problems

Express in the form a+bi (1+i)/(1-i)

Express in the form a+ib:(3+5i)/(2-3i)

The activity of the radioactive sample decreases form I_0 to I_0/3 in 9 years. After 9 years more the sample shall decrease form (I_0)/(3) to

Express sqrt2+ i =r cos theta +ir sin theta complex numbers in the polar form.

From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constant. H_(2) O_(2) (aq) + 3I^(-) (aq) + 2H^(+) to 2H_(2) O (l) + I_(3)^(-), "Rate" = k [ H_(2) O_(2) ][I^(-) ]

If A is square matrix such that A^(2)=A , then write the value of (I+A)^(3)-7A . Where I is an identity matrix .

Express the 3i points geometrically in the Argrand plane.

MBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express in the form a+ib:(3+5i)/(2-3i)

    Text Solution

    |

  2. Express in the form a+bi (sqrt3-isqrt2)/(2sqrt3-isqrt3)

    Text Solution

    |

  3. Express in the form ((I+i)^2)/(3-i)

    Text Solution

    |

  4. Express in the form((a+ib)^3)/(a-ib)-((a-ib)^3)/(a+ib)

    Text Solution

    |

  5. Express in the form a+bi (1+i)/(1-i)

    Text Solution

    |

  6. Express the 1 points geometrically in the Argrand plane.

    Text Solution

    |

  7. Express the 3i points geometrically in the Argrand plane.

    Text Solution

    |

  8. Express the -2 points geometrically in the Argrand plane.

    Text Solution

    |

  9. Express the 3+2i points geometrically in the Argand plane.

    Text Solution

    |

  10. Express the -3+ipoints geometrically in the Argand plane.

    Text Solution

    |

  11. Express the 1-i points geometrically in the Argand plane.

    Text Solution

    |

  12. Show that the following number are equidistant from the origin :sqrt2 ...

    Text Solution

    |

  13. Express sqrt2+ i =r cos theta +ir sin thetacomplex numbers in the pol...

    Text Solution

    |

  14. Express 1+isqrt2=r cos theta +sin theta complex numbers in the polar ...

    Text Solution

    |

  15. Express isqrt3 =rcos theta +ir sin theta complex numbers in the polar...

    Text Solution

    |

  16. If 1,omega, omega^2 are the three cube roots of unity, prove that (1+o...

    Text Solution

    |

  17. (1-omega +omega^2)(1+omega-omega^2)=4

    Text Solution

    |

  18. (1-omega)(1-omega^2)(1-omega^4)(1-omega^5)=9

    Text Solution

    |

  19. (2+5omega +2 omega^2)^6=(2+2omega+5 omega^2)^6=729

    Text Solution

    |

  20. (1-omega+omega^2)(1-omega^2+omega^4)(1-omega^4+omega^2)….to 2n Factor...

    Text Solution

    |