Home
Class 12
MATHS
Given |z| = 14 and amp z = (7pi)/(6) , t...

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

A

`-sqrt3 + i`

B

`7sqrt3 + 7i`

C

`7sqrt3 - 7i`

D

`sqrt3 - i`

Text Solution

Verified by Experts

The correct Answer is:
B
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

z = 6. e^(i (pi)/(3)) then |e^(iz)| =

If cos 3 x + sin (2 x - (7 pi)/(6)) = - 2 then x is equal to (k in Z)

If z_(1) = 8 + 4i , z_(2) = 6 + 4i and z be a complex number such that Arg ((z - z_(1))/(z - z_(2))) = (pi)/(4) , then the locus of z is

The angle between the planes kx+y-z=9 and x+2y+z=7 is (pi)/(3) then k =

If amp (z-3) =pi//2 then the locus of z is

If amp (z-i) =pi//3 then the locus of z is

Z is a complex number such that |z| le 2 and -(pi)/(3)le"amp Z"le(pi)/(3) . The area of the region formed by locus of Z is

If Arg ((2 - z)/(2 + z)) = (pi)/(6) and z = x + iy , then the locus of z is

AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If |z + 1| = sqrt2 | z- 1| and z is a complex number , then the locus ...

    Text Solution

    |