Home
Class 12
MATHS
If the conjugate of a complex numbers is...

If the conjugate of a complex numbers is `1/(i-1)`, where `i=sqrt(-1)`. Then, the complex number is

A

`(-1)/(i-1)`

B

`1/(i+1)`

C

`(-1)/(i+1)`

D

`1/(i-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 7|11 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If the multicative inverse of a comlex number is (sqrt3+4i)\\19, where i=sqrt-1, find the complex number.

The conjugate of a complex number is 1/(i-1) . Then that complex number is :

Real part of complex number 2i is :

Modulus of complex number 3i-4 is :

Express (1+i)^(-1) ,where, i= sqrt(-1) in the form A+iB.

Write the following as complex numbers : 1+sqrt (-1) .

Find the conjugate and modules of complex number 7 -24i.

Write the following as complex numbers : -1-sqrt(-5) .

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Express in the form of complex number i^9+i^(19)

    Text Solution

    |

  2. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  3. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  4. Let z = x + iy be a complex number where x and y are integers. Then...

    Text Solution

    |

  5. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  6. If |z-4/z|=2 then the greatest value of |z| is:

    Text Solution

    |

  7. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

    Text Solution

    |

  8. Find the value of 2^4

    Text Solution

    |

  9. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

    Text Solution

    |

  10. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

    Text Solution

    |

  11. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

    Text Solution

    |

  12. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

    Text Solution

    |

  13. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

    Text Solution

    |

  14. Find the value of 3^4

    Text Solution

    |

  15. Let alpha and beta be real numbers and z be a complex number. If z^(2...

    Text Solution

    |

  16. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

    Text Solution

    |

  17. Let z be a complex number such that the imaginary part of z is nonz...

    Text Solution

    |

  18. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

    Text Solution

    |

  19. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  20. What is 3% Equals to

    Text Solution

    |