Home
Class 12
MATHS
Find z^(-1), if z = ( 2 +3i)(1-i)...

Find `z^(-1)`, if `z = ( 2 +3i)(1-i)`

Text Solution

Verified by Experts

The correct Answer is:
`5/26 - i 1/26`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|59 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.1|6 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

Similar Questions

Explore conceptually related problems

If z_(1) =2 -i, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

Let z_(1)=2-i, z_(2)= -2+i . Find (i) Re((z_(1)z_(2))/(z_1)) (ii) Im((1)/(z_(1)z_(2))) .

If z_(1) = 1 - 3i, z_(2) = -4i and z_(3) = 5, show that (z_(1) + z_(2)) + z_(3) = z_(1) + (z_(2) + z_(3))

If (z + 3)/( z - 5i) = ( 1 + 4i)/(2) find the complex number z.

Find the radius and centre of the circle z bar(z) - (2 + 3i)z - (2 - 3i)bar(z) + 9 = 0 where z is a complex number

If z_(1)=2-i, z_(2)=1+i , find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+1)| .

If z_(1) and z_(2) are 1 - i, -2 + 4i then find Im ((z_(1) z_(2))/(bar(z_(1)))) .

FULL MARKS-COMPLEX NUMBERS -EXERCISE - 2.9
  1. Find z^(-1), if z = ( 2 +3i)(1-i)

    Text Solution

    |

  2. i^(n) + i^(n+1) + i^(n + 2) + i^(n + 3)

    Text Solution

    |

  3. The value of sum(i=1)^(13) (n^(n) + i^(n-1)) is

    Text Solution

    |

  4. The area of the triangle formed by the complex numbers z, iz, and z + ...

    Text Solution

    |

  5. The conjugate of a complex number is (1)/(i-2). Then, the complex numb...

    Text Solution

    |

  6. If z= ((sqrt(3) + i)^(3) (3i+4)^(2))/((8 + 6i)^(2)), then |z| is equal...

    Text Solution

    |

  7. If z is non zero complex number, such that 2i z^(2) = bar(z),then |z| ...

    Text Solution

    |

  8. If |z-2 + i|le2, then the greatest value of |z| is

    Text Solution

    |

  9. If |z - (3)/(z)| = 2, then the least value of |z| is

    Text Solution

    |

  10. If |z| = 1, then the value of (1+z)/(1 +bar(z)).

    Text Solution

    |

  11. The solution of the equation |z| -z = 1 + 2i is

    Text Solution

    |

  12. If |z(1)| = 1, |z(2)| = 2, |z(3)| = 3 and |9z(1)z(2) + 4z(1) z(3) + z(...

    Text Solution

    |

  13. If z is a complex number such that z in CC\\RR, and z + (1)/(z) in RR,...

    Text Solution

    |

  14. z(1), z(3), and z(3) are complex numbers such that z(1) + z(2) + z(3)=...

    Text Solution

    |

  15. If (z - 1)/(z + 1) is purely imaginary, then |z| is

    Text Solution

    |

  16. If z = x + iy is a complex number such that |z + 2| = |z - 2|, then th...

    Text Solution

    |

  17. The principal argument of (3)/(-1 + i) is

    Text Solution

    |

  18. The principal argument of (sin 40^(@) + i cos 40^(@))^(5) is

    Text Solution

    |

  19. If (1 + i)(1 + 2i)(1 + 3i)….(1 + ni) = x + iy, then 2.5.10…(1 + n^(2))...

    Text Solution

    |

  20. If omega ne 1 is a cubic root of unit and (1 + omega)^(7) = A + Bomega...

    Text Solution

    |

  21. The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i...

    Text Solution

    |