Home
Class 12
MATHS
If z(1)=4+3i, z(2)=12-5i, z(3)=8+6i find...

If `z_(1)=4+3i`, `z_(2)=12-5i`, `z_(3)=8+6i` find `|z_(1)|,|z_(2)|,|z_(3)|,|z_(1)+z_(2)|` and `|z_(3)-z_(2)|`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(137)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.1|6 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.2|9 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

Similar Questions

Explore conceptually related problems

If z_(1) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that z_(1)(z_(2) + z_(3)) = z_(1) z_(2) + z_(1) z_(3)

If z_(1)=3-4i , z_(2)=2+i find bar(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) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that (z_(1) + z_(2)) z_(3) = z_(1) z_(3) + z_(2) z_(3)

If z_(1) = 1 - 3i, z_(2) = -4i and z_(3) = 5, show that (z_(1) + z_(2)) + z_(3) = z_(1) + (z_(2) + z_(3))

If z_1 = 3 + 4i , z_2 = 5 - 12i and z_3 = 6 + 8i , find |z_1|, |z_2|,|z_3|, |z_1 + z_2|,|z_2 - z_3|, and |z_1 + z_3| .

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 arg z_(1) - arg z_(2) is

PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. If z(1)=4+3i, z(2)=12-5i, z(3)=8+6i find |z(1)|,|z(2)|,|z(3)|,|z(1)+z(...

    Text Solution

    |

  2. If (1-i)/(1+i) is a root of the equation ax^(2)+bx+1=0. Where a, b...

    Text Solution

    |

  3. If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+om...

    Text Solution

    |

  4. The arguments of the roots of a complex number differ by :

    Text Solution

    |

  5. If z(1)=4+5i and z(2)=-3+2i that (z(1))/(z(2)) is :

    Text Solution

    |

  6. The number of values of (costheta+isintheta)^(p//q) where p and q are ...

    Text Solution

    |

  7. If -i+3 is a root of x^(2)-6x+k=0. Then the value of k is :

    Text Solution

    |

  8. If x^(2)+y^(2)=1, then the value of (1+x+iy)/(1+x-iy).

    Text Solution

    |

  9. The value of ((-1 + isqrt3)/(2))^(100) + ((-1-isqrt3)/(2))^(100) is :

    Text Solution

    |

  10. The principal value of arg(z) lies in the interval :

    Text Solution

    |

  11. If -barz lies in the third quadrant then z lies in the :

    Text Solution

    |

  12. If P is ((1)/(2)+i(sqrt(3))/(2)) and OP is rotated through an angle (p...

    Text Solution

    |

  13. If the amplitude of a complex number is (pi)/(2) then the number is :

    Text Solution

    |

  14. If A+iB=(a(1)+ib(1))(a(2)+ib(2))(a(3)+ib(3)) then A^(2)+B^(2) is :

    Text Solution

    |

  15. The points z(1)z(2)z(3)z(4) in the complex plane are the vertices of a...

    Text Solution

    |

  16. If omega is the cube root of unity, then then value of (1 - omega) (1 ...

    Text Solution

    |

  17. Find the correct statement : The cube roots of unity are :

    Text Solution

    |

  18. Which of the following is incorrect.?

    Text Solution

    |

  19. Which of the following is incorrect ?

    Text Solution

    |

  20. Which of the following is incorrect ?

    Text Solution

    |

  21. Which of the following is correct statement ?

    Text Solution

    |