Home
Class 12
MATHS
The amplitude of (1+sqrt(3i))/(sqrt(3)+i...

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

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(2pi)/(3)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqrt(3)))^(6)=

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

The modulus of amplitude of (1+i sqrt(3))^(8) are respectively

(sqrt(3)+i)^(6)+(sqrt(3)-i)^(6)=

The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2005-MATHEMATICS
  1. If tan^(-1) x + tan^(-1) y =(pi)/(4) then...

    Text Solution

    |

  2. The general solution of sin x - cos x= sqrt2, for any integer 'n' is

    Text Solution

    |

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

    Text Solution

    |

  4. The sum to infinity of the progression9-3+1 -(1)/(3) + .... is

    Text Solution

    |

  5. If "C(12) = "^(n)C(6)then (n)(2)^C=

    Text Solution

    |

  6. The middle term in the expansion of((x-(1))/(x))^(18) is...

    Text Solution

    |

  7. If alpha,beta,gamma are the roots of the equation2x^(3) -3x^(2) +6x + ...

    Text Solution

    |

  8. The digit in the units place in the number 7^(289) is...

    Text Solution

    |

  9. If a, b and care mutually perpendicular unit vectors, then |a+b+c|is e...

    Text Solution

    |

  10. The identity element in the group M={((x,x),(x,x))|x in R, x ne 0|} w...

    Text Solution

    |

  11. In the group G = {1,3,7,9) under multiplication modulo 10, the inverse...

    Text Solution

    |

  12. In the group (Q^(+) *) of positive rational numbers w.r.t. the binary ...

    Text Solution

    |

  13. (0,-1) and (0, 3) are two opposite vertices of a square. The other two...

    Text Solution

    |

  14. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |

  15. The distance between the pair of parallel linesx^(2) + 2xy + y^(2) - 8...

    Text Solution

    |

  16. The equation to the circle with centre (2, 1) and touching the line 3x...

    Text Solution

    |

  17. The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) ...

    Text Solution

    |

  18. int(sin(2x)dx)/(1+cos^(2)x)=

    Text Solution

    |

  19. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  20. int (1 + tan x)/(e^(-x). Cos x) dx =

    Text Solution

    |