Home
Class 11
MATHS
If the conjugate of (x + iy) (1-2i) be 1...

If the conjugate of (x + iy) (1-2i) be 1+i, then :

A

`x=3/5`

B

`y=3/5`

C

`x+iy= (1-i)/(1-2i)`

D

`x-iy= (1-i)/ (1+2i)`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

Complex conjugate of i is :

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

Write the conjugates of the following : (1-i)/(1+i) .

Find the conjugate of ((3-2i)(2+3i))/((1+ 2i)(2-i)) .

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

Write the conjugates of the following : (-2-1/3i)^3 .

Find the values of x and y if : (x+iy)(1+i)=1-i where i=sqrt(-1)

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If (c+i)/(c-i)= a+ ib, where a, b, c are real, then a^2+ b^2 equals :

    Text Solution

    |

  2. If i^2=-1, then the value of overset (200) underset (n=1) (sum) i^n is...

    Text Solution

    |

  3. If the conjugate of (x + iy) (1-2i) be 1+i, then :

    Text Solution

    |

  4. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

    Text Solution

    |

  5. The inequality n ! > 2^(n-1) is true:

    Text Solution

    |

  6. The number of solutions of the equation z^2+ bar z=0 is :

    Text Solution

    |

  7. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  8. The modulus of (1-i)/(3+i)+(4i)/5 is :

    Text Solution

    |

  9. For any complex number z, the minimum value of |z|+|z-1| is :

    Text Solution

    |

  10. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

    Text Solution

    |

  11. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  12. The quadratic equation whose roots are three times the roots of 3ax^2 ...

    Text Solution

    |

  13. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

    Text Solution

    |

  14. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

    Text Solution

    |

  15. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

    Text Solution

    |

  16. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

    Text Solution

    |

  17. The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:

    Text Solution

    |

  18. If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :

    Text Solution

    |

  19. If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...

    Text Solution

    |

  20. The centre of a regular hexagon is at the point z = i. If one of its v...

    Text Solution

    |