Home
Class 12
MATHS
The complex number ((-sqrt(3)+3i)(1-i))/...

The complex number `((-sqrt(3)+3i)(1-i))/((3+sqrt(3)i)(i)(sqrt(3)+sqrt(3)i))` when represented in the Argand diagram is

A

on the x -axis (real axis)

B

on the y -axis (imaginary axis)

C

in the first quadrant

D

in the second quadrant

Text Solution

Verified by Experts

The correct Answer is:
B
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

The complex numbers 1,-1, i sqrt(3) form

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

(1+i sqrt(3))^(5)+(1-i sqrt(3))^(5)=

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

sqrt(i)+sqrt((-i)) equals :

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

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

Represent the complex number (2+6sqrt3i)/(5+sqrt3i) in polar form.

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

If z(2-2 sqrt(3) i)^(2)=i(sqrt(3)+i)^(4) then arg z=

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The real part of (1)/(1+cos theta+i sin theta) is

    Text Solution

    |

  2. The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively

    Text Solution

    |

  3. The complex number ((-sqrt(3)+3i)(1-i))/((3+sqrt(3)i)(i)(sqrt(3)+sqrt(...

    Text Solution

    |

  4. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

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

    Text Solution

    |

  6. The conjugate of (3-2 i)/(5+7 i) is

    Text Solution

    |

  7. If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...

    Text Solution

    |

  8. The conjugate of the complex number (1 + i)^(2)/(1-i) is

    Text Solution

    |

  9. The real and imaginary part of log (e)(1+sqrt(3) i) are

    Text Solution

    |

  10. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

    Text Solution

    |

  11. Let z and w be two non-zero complex numbers such that |z|=|w| and arg....

    Text Solution

    |

  12. The locus of the centre of a circle which touches the circles |z-z(1)|...

    Text Solution

    |

  13. Let z(1) and z(2) be two roots of the equation z^(2)+az+b=0, z being c...

    Text Solution

    |

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

    Text Solution

    |

  15. If ((1+i)/(1-i))^(x)=1, then x=

    Text Solution

    |

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

    Text Solution

    |

  17. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi. Then ...

    Text Solution

    |

  18. If z=x-i y and z^(1 / 3)=p+i q then ((x)/(p)+(y)/(q)) div(p^(2)+q^(...

    Text Solution

    |

  19. If |z^(2)-1|=|z|^(2)+1, then z lies on :

    Text Solution

    |

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

    Text Solution

    |