Home
Class 11
MATHS
What is ((sqrt3+i))/((1+sqrt3 i)) equal ...

What is `((sqrt3+i))/((1+sqrt3 i))` equal to ?

A

`1+i`

B

`1-i`

C

`(sqrt3(1-i))/2`

D

`((sqrt3-i))/2`.

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

2sqrt3+sqrt3 is equal to

tan^-1 (sqrt3) -cot^-1 (-sqrt3) is equal to :

cos^-1 (sqrt3/2) is equal to

tan^-1sqrt3 - cot^-1(1-sqrt3) is equal to

Magnitude of the vectors 1/(sqrt(3))hati+1/(sqrt(3))hatj+1/(sqrt(3))hatk is equal to

tan^-1(sqrt3) - cot^-1 (-sqrt3) is equal to

tan^-1(sqrt3) - cot^-1(-sqrt3) is equal to :

tan^-1 (1/sqrt3)-cot^-1 (-1/sqrt3) is equal to :

Fill in the blanks: tan^-1 1 + sin^-1 (-sqrt3/2) + cos^-1 (-sqrt3/2) is equal to ………..

int_0^(sqrt3) (dx)/(1+x^2) dx is equal to :

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. What is the value of ((-1+i sqrt3)/2)^900+ ((-1-i sqrt3)/2)^301 ?

    Text Solution

    |

  2. If 2^x+3^y =17 and 2^(x+2)-3^(y+1)=5, then what is the value of x ?

    Text Solution

    |

  3. What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

    Text Solution

    |

  4. If z1, z2, z3 are complex numbers such that |z1|= |z2|= |z3| =|1/z1+1/...

    Text Solution

    |

  5. For positive integers n1,n2, the value of the expression : (1+i)^(n1)+...

    Text Solution

    |

  6. If z1, z2 are two complex numbers satisfying the equation |(z1 +z2)/(z...

    Text Solution

    |

  7. The equation z bar z+a bar z+bar a z+b=0, b in R represents a circle i...

    Text Solution

    |

  8. If cos alpha+ cos beta + cos gamma = sin alpha+ sin beta +sin gamma= 0...

    Text Solution

    |

  9. If x satisfies |x-1|+|x-2|+|x-3| ge6, then :

    Text Solution

    |

  10. If 5le x le8, then :

    Text Solution

    |

  11. If (x^2-5x+6)/(x^2-x+1) is negitive then :

    Text Solution

    |

  12. Let z1 and z2 be nth roots of unity, which subtend a right angle at th...

    Text Solution

    |

  13. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2- z3)= (1-i sq...

    Text Solution

    |

  14. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is

    Text Solution

    |

  15. If z and w are two non-zero complex numbers such that |zw|=1 and Arg (...

    Text Solution

    |

  16. Let z and w be two non-zero complex numbers such that ∣z∣=∣w∣ and arg(...

    Text Solution

    |

  17. Let z =x-iy and z^(1/3)= p+iq.Then (x/p+y/q)//(p^2+q^2) is equal to:

    Text Solution

    |

  18. If |z^2-1|=|z|^2+1, then z lies on :

    Text Solution

    |

  19. If z1a n dz2 are two nonzero complex numbers such that |z1+z2|=|z1|+|z...

    Text Solution

    |

  20. If w= z/(z-i1/3) and |w|=1,then z lies on:

    Text Solution

    |