Home
Class 12
MATHS
If |z(1)| = |z(2)| = |z(3)| = … |z(n)| =...

If `|z_(1)| = |z_(2)| = |z_(3)| = … |z_(n)| = 1` , then `|z_(1) + z_(2) + z_(3) + ….. + z_(n) | = `

A

`| (1)/(z_(1)) + (1)/(z_(2)) + (1)/(z_(3)) + …. + (1)/(z_(n))|`

B

`| (1)/(z_(1)) - (1)/(z_(2)) + (1)/(z_(3)) - …. + (1)/(z_(n)) |`

C

`|(1)/(z_(1)^(2)) + (1)/(z_(2)^(2)) + (1)/(z_(3)^(2)) + ….. + (1)/(z_(n)^(2))|`

D

`| (1)/(z_(1)^(2)) - (1)/(z_(2)^(2)) + (1)/(z_(3)^(2)) + … + (1)/(z_(n)^(2))|`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 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

If |z_(1) | = |z_(2)| = 1 , then |z_(1) + z_(2)| =

If |z_1|=|z_2|=1 , then |z_1+z_2| =

If z^(1) =2 -I, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

If |z_(1) + z_(2)| = |z_(1) - z_(2)| then the difference in the arguments of z_(1) and z_(2) is

z_(1) = 1 +i , z_(2) = -sqrt3 + i , z_(3) = 1 + sqrt3i , z_(4) = 1 - i Arrange z_(1) , z_(2) , z_(3) , z_(4) is descending order of their principal values

If z_(1) , z_(2) are complex numbers and if |z_(1) + z_(2)| = |z_(1) - z_(2)| show that are (z_(1)) - arg (z_(2)) = pm (pi)/(2)

If z_(1)=-1 and z_(2)=-i , then find Arg (z_(1)z_(2))

If z_(1)=(6,3),z_(2)=(2,-1) , find z_(1)//z_(2) .

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. The minimum value of |z - 1| + | z- 2| + |z -3| + |z - 4|+ |z - 5| i...

    Text Solution

    |

  2. If |z+ 4| le 3 then the maximum value of |z + 1|

    Text Solution

    |

  3. If |z(1)| = |z(2)| = |z(3)| = … |z(n)| = 1 , then |z(1) + z(2) + z(3) ...

    Text Solution

    |

  4. If the equation (1 + i)^(x) = 2^(x) , has integer solution , has the o...

    Text Solution

    |

  5. If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0...

    Text Solution

    |

  6. The complex number z satisfying z^(2) + |z| = 0 is

    Text Solution

    |

  7. If z is a complex number satisfying the relation |z+1| = z + 2 (1 +i) ...

    Text Solution

    |

  8. If z(1) , z(2) are conjugate complex numbers and z(3) , z(4) are also ...

    Text Solution

    |

  9. If z(z), z(2) are two non-zero complex numbers satisfying |z(2)+z(2)|=...

    Text Solution

    |

  10. If |z(1) + z(2)| = |z(1) - z(2)| then the difference in the arguments ...

    Text Solution

    |

  11. The mod-amplitude form of (1 + 7i)/((2 - i)^(2)) is

    Text Solution

    |

  12. The mod -amplitude form of 1+itan theta is

    Text Solution

    |

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

    Text Solution

    |

  14. If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...

    Text Solution

    |

  15. If z and omega are two non-zero complex numbers such that |zomega| =1...

    Text Solution

    |

  16. If z is a complex number of unit modulus and argument theta then, arg ...

    Text Solution

    |

  17. sqrt(4ab - 2i (a^(2) - b^(2) ) =

    Text Solution

    |

  18. x + isqrt(x^(4) + x^(2) + 1)) =

    Text Solution

    |

  19. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

    Text Solution

    |

  20. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

    Text Solution

    |