Home
Class 12
MATHS
express (1 -i)^(4) in the form of a +i...

express ` (1 -i)^(4)` in the form of a +ib.

Text Solution

Verified by Experts

The correct Answer is:
`-4 `
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -B) (objective Type Questions ( one option is correct)|78 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

Express ( 4 - 5/2 i)^(2) in the form of a + ib.

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

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

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

Express (2 + 3i)^(3) in the form (a + ib).

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

(a) Express (1+7i)/((2-i)^(2)) in the form a+ib. (b) Reduce (1)/(1-4i)-(2)/(1+i) in the form a+ib.

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

Express (1)/(4-5i) in the form of a+ib(i)(4+i5)/(41)(ii)(3+i4)/(41)(iii)(2+i3)/(41) (iv) (2-i3)/(41)

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

AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Try Yourself
  1. find the multiplicative inverse of the complex number 2 + 9i .

    Text Solution

    |

  2. Express ( 4 - 5/2 i)^(2) in the form of a + ib.

    Text Solution

    |

  3. express (1 -i)^(4) in the form of a +ib.

    Text Solution

    |

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

    Text Solution

    |

  5. if z(1) = 3i and z(2) =1 + 2i , then find z(1)z(2) -z(1)

    Text Solution

    |

  6. Express 1/(1+cos theta-i sin theta) in the form of a +ib.

    Text Solution

    |

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

    Text Solution

    |

  8. Show that the complex number ((4+3i)/(3 + 4i)) ((4 -3i)/(3-4i)) is pu...

    Text Solution

    |

  9. Find real q such that (3+2isintheta)/(1-2isintheta) is purely real.

    Text Solution

    |

  10. Plot the conjegate of the complex number 2-3i on the Argand plane.

    Text Solution

    |

  11. Plot the conjegate of the complex number -7-4i on the Argand plane. ]

    Text Solution

    |

  12. Mutiply ( 5 +2i) by its conjugate.

    Text Solution

    |

  13. Find the conjugate of ((1-2i)^(2))/(2 + i)

    Text Solution

    |

  14. if z = 2 + i + 4i^(2) -6i^(3) then verify that (i) (bar(z^(2)) = (...

    Text Solution

    |

  15. if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - bar...

    Text Solution

    |

  16. if z(1) = 3-i and z(2) = -3 +i, then find Re ((z(1)z(2))/(barz(1))...

    Text Solution

    |

  17. if z(1)=2-i, and z(2) = 1+ i, then find Im(1/(z(1)z(2)))

    Text Solution

    |

  18. Find real values of x and y for which the complex numbers 7 + ix^(2)y...

    Text Solution

    |

  19. Find real number x and y if (x-iy)(4 + 7i) is the conjugate of 29-2i.

    Text Solution

    |

  20. find the conjugate of (sqrt2 -isqrt2)/(2sqrt5-isqrt2)

    Text Solution

    |