Home
Class 12
MATHS
If sqrt(a+i b)=x+i y, then a possible va...

If `sqrt(a+i b)=x+i y`, then a possible value of `sqrt(a-i b)` is

A

`x^(2)+y^(2)`

B

`sqrt(x^(2)+y^(2))`

C

` x+i y`

D

` x-i y`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is

If a+i b=c+i d , then

The value of (-1+i sqrt(3))^(48)=

The reciprocal of 3+i sqrt(7) is

The amplitude of (1+i)/(1+sqrt(3) i) is

If a_(1) , a_(2) , a_(3),"…………."a_(n) are in A.P., where a_(i) gt 0 for all i, then the value of : (1) /( sqrt(a_(1))+sqrt(a_(2)))+ (1) /( sqrt(a_(2))+sqrt(a_(3)))+"......"+(1) /( sqrt(a_(n-1))+sqrt(a_(n))) is :

If x=-1-i sqrt(3) then the value of x^(3) is

The amplitude of (1+sqrt(3i))/(sqrt(3)+i) is

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

The anmplitude of (1 + sqrt(3)i)/(sqrt(3) + i) is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If the amplitude of z-2-3 i is (pi)/(4), then the locus of z=x+i y is

    Text Solution

    |

  2. If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b om...

    Text Solution

    |

  3. If sqrt(a+i b)=x+i y, then a possible value of sqrt(a-i b) is

    Text Solution

    |

  4. If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to

    Text Solution

    |

  5. If omega is a complex cube root of unity then the value of (p++q omega...

    Text Solution

    |

  6. If alpha, beta and gamma are angles such that tan alpha+tan beta+tan g...

    Text Solution

    |

  7. The polar form of the complex number (i^(25))^(3) is

    Text Solution

    |

  8. For what value of x and y, the complex numbers. 9 y^(2)-4-10 x i and ...

    Text Solution

    |

  9. The point represented by the complex number 2-i is rotated about origi...

    Text Solution

    |

  10. The locus of the point z satisfying arg ((z-1)/(z+1))=k, (where k is n...

    Text Solution

    |

  11. Let omega is an imaginary cube root of unity then the value of 2(1+o...

    Text Solution

    |

  12. If z=(-2)/(1+sqrt(3) i), then the value of arg z is

    Text Solution

    |

  13. If z(1), z(2), z(3) be vertices of an equilateral triangle occurring ...

    Text Solution

    |

  14. If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

    Text Solution

    |

  15. If omega is a complex cube root of unity then the value of (p++q omega...

    Text Solution

    |

  16. If z is a complex number in the argand plane, then the equation |z-2|+...

    Text Solution

    |

  17. Cube roots of unity are in

    Text Solution

    |

  18. If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega, then x y z=

    Text Solution

    |

  19. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

    Text Solution

    |

  20. If omega is the cube root of unity of the equation z^(3)=1, then the v...

    Text Solution

    |