Home
Class 12
MATHS
If a+ib = x-iy then in terms of x,y we h...

If a+ib = x-iy then in terms of x,y we have a-ib = ______ .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

If a + ib = c + id , then

If sqrt(a+ib)=x+iy then prove that sqrt(a-ib)=x-iy

If sqrt(a-ib) = x-iy , prove that sqrt(a+ib) =x+iy.

If sqrt(a+ib)=x+iy , then value of sqrt(a-ib) is:

If (a-ib)/(a+ib)= (1+i)/(1-i) , then show that a+b=0

Find the number of squares ib the figure

If root(3)(a+ib) = x + iy, prove that : root(3)(a-ib) = x- iy .

If sqrt(a+ib)=x+iy, then possible value of sqrt(a-ib) is x^(2)+y^(2) b.sqrt(x^(2)+y^(2)) c.x+iydx-iy e.sqrt(x^(2)-y^(2))

If (a+ib)^(2018)=a- ib then number of real ordered pairs (a,b) that are solution of the given equation is N , then [(N)/(100)] equals

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. The value of i^103 + i^(-99) = where i = sqrt(-1) .

    Text Solution

    |

  2. The greatest and the least absolute value of z+1 where |z+4| le3 are ...

    Text Solution

    |

  3. If a+ib = x-iy then in terms of x,y we have a-ib = .

    Text Solution

    |

  4. If n is of the form 3m+2, 1+omega^(-11) +omega^(-2n) = where omega is...

    Text Solution

    |

  5. If alpha,beta,gamma are the cube roots of p then for any x,y and z (xa...

    Text Solution

    |

  6. The value of |sqrtalpha| , where alpha is a nonreal cube root of unity...

    Text Solution

    |

  7. If omega is a cube root of unity, then find the value of the following...

    Text Solution

    |

  8. Let the point P represent the complex number z. If OP is turned round ...

    Text Solution

    |

  9. |sqrtz|^4 = where z is a unimodular complex number.

    Text Solution

    |

  10. (z|barz|^2)/(barz|z|^2) = where z is a complex number of amplitude pi...

    Text Solution

    |

  11. ABCD is a rhombus. Its diagonals AC and BD intersect at the point M a...

    Text Solution

    |

  12. The angle that the vector representing the complex number 1/((sqrt3+i)...

    Text Solution

    |

  13. If |z| =2 then then the complex number 1/z is represented on a fixed .

    Text Solution

    |

  14. If z1 and z2 are two complex number and a, b, are two real number then...

    Text Solution

    |

  15. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

    Text Solution

    |

  16. If the complex number z1,z2 and z3 represent the vertices of an equila...

    Text Solution

    |

  17. If the real part of (z+4)/(2z+i) is 1/2 then the point z lies on .

    Text Solution

    |

  18. If a gt 0 ,b gt 0 then sqrt(-a) * sqrtb is equal to

    Text Solution

    |

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

    Text Solution

    |

  20. Find the smallest positive integer value of n for which ((1+i)^n)/((1-...

    Text Solution

    |