Home
Class 12
MATHS
If sqrt(x+ iy) = pm (a + ib) then sqrt(x...

If `sqrt(x+ iy) = pm (a + ib)` then `sqrt(x-iy)` =

A

`pm (b +ia`

B

`pm (a- ib)`

C

`pm (a + ib)`

D

`pm (b- ia)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

If cos ( x+ iy) = A + iB, then A =

If (x-iy ) ^(1/3) = a + ib, then (ax -by)/(a-b) =

If (x - iy) ^(1//3) = a - ib, then show that (x)/(a) + (y)/(b) = 4 ( a ^(2) - b ^(2)).

If sin ( x+ iy) = A +iB, then A =

If x -iy = sqrt([(a - ib)/(c-id)]) , then (x^(2) + y^(2))^(2) =

If (x + iy)^((1)/(3)) = a+ ib , then ((x)/(a)) + ((y)/(b)) =

If x_(n) + iy_(n) = (1 + i)^(n) then x_(n - 1) y_(n) - x_(n) y_(n- 1) =

If (a+ib)^2=x+iy then x^2+y^2 =

If (x+iy)^(3) = u + iy , then show that u/x + v/y = 4(x^(2)-y^(2))

If (x + 3i)/(2 + iy) = 1 - i then the value of (5x - 7y)^(2) =

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. sqrt(4ab - 2i (a^(2) - b^(2) ) =

    Text Solution

    |

  2. x + isqrt(x^(4) + x^(2) + 1)) =

    Text Solution

    |

  3. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

    Text Solution

    |

  4. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

    Text Solution

    |

  5. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

    Text Solution

    |

  6. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

    Text Solution

    |

  7. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

    Text Solution

    |

  8. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

    Text Solution

    |

  9. 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...

    Text Solution

    |

  10. If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =

    Text Solution

    |

  11. If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...

    Text Solution

    |

  12. If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + ...

    Text Solution

    |

  13. If 1 , omega , omega^(2) are the cube roots of unity , then the roots...

    Text Solution

    |

  14. If omega is a complex cube root of unity , then the value of (a + b o...

    Text Solution

    |

  15. If omega is a complex cube root unity then sin { (omega^(10) + omega^(...

    Text Solution

    |

  16. If z + (1)/(z) = -1 then z^(5) + (1)/(z^(5)) =

    Text Solution

    |

  17. If (omega ne1) is a cube root of unity , then {:(1 , 1 + i+ omega^(2...

    Text Solution

    |

  18. If n (ne 3) is an integer and z = -1 + isqrt3 , then z^(2n) + 2^(n) ,...

    Text Solution

    |

  19. If |(z - 4bari)/(z-2)| = 2 then the locus of z is

    Text Solution

    |

  20. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |