Home
Class 12
MATHS
The argument of ((1 - isqrt3))/((1+isqrt...

The argument of `((1 - isqrt3))/((1+isqrt3))` is equal to

A

`-90^(@)`

B

`120^(@)`

C

`210^(@)`

D

`240^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE -II|126 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

Statement - I : If a and b are positive real numbers then sqrt(-a) xx sqrt(-b) is equal to sqrt(ab) Statement - II : The argument of (1 + isqrt3)/(1 -isqrt3) is 120^(0)

One value of (1+isqrt3)^(3//4)+(1-isqrt3)^(3//4) is equal to

(1+isqrt3)^(9)=

tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3)) is equal to

The value of ((- 1 + isqrt3)/(2))^(100) + ((- 1 - isqrt3)/(2))^(100) is equal to

The value of ((-1 + isqrt3)/(2))^(36) + ( (-1 - isqrt3)/(2))^(36) =

I: If a and b are positive real numbers then sqrt(-a) xx sqrt(-b) = -sqrt(ab) II : The Arg [(1 + isqrt3)/(1 - isqrt3)] is 240^(@) Which of the statements are true

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

AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If (pi)/(5) and (pi)/(3) are respectively the arguments of barz(1) and...

    Text Solution

    |

  2. If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

    Text Solution

    |

  3. The argument of ((1 - isqrt3))/((1+isqrt3)) is equal to

    Text Solution

    |

  4. Given |z| = 14 and amp z = (7pi)/(6) , then z is =

    Text Solution

    |

  5. If (sqrt3 + i) = (a + ib) (c + id) then tan^(-1) (b)/(a) + tan^(-1) (d...

    Text Solution

    |

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

    Text Solution

    |

  7. If Arg ((z+1)/(z-1))=pi/6 then the locus of z = x + iy is

    Text Solution

    |

  8. If |z| = 1 and arg [z^(2) + barz] = x arg z then x

    Text Solution

    |

  9. If z = x + iy and if the point P in the Argand plane represents z , th...

    Text Solution

    |

  10. If |z-3+i| = 4 then the locus of z = x +iy is

    Text Solution

    |

  11. If |(z-1)/(z-3)| = 2 then the locus of z = x +iy is

    Text Solution

    |

  12. The locus of the point z = x +iy satisfying the equation |(z-1)/(z+1)|...

    Text Solution

    |

  13. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

    Text Solution

    |

  14. The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^...

    Text Solution

    |

  15. If |z+i|^2-|z-i|^2=3 then the locus of z is

    Text Solution

    |

  16. The points representing the complex numbers z for which |z+4|^2-|z-4|^...

    Text Solution

    |

  17. If (2z(1))/(3z(2)) is purely , an imaginary number , then |(z(1) - z(2...

    Text Solution

    |

  18. If |z(1) | = |z(2)| = 1 , then |z(1) + z(2)| =

    Text Solution

    |

  19. The modulus of sqrt2i-sqrt(-2i) is

    Text Solution

    |

  20. If |z-1| = 2 then the locus of z is

    Text Solution

    |