Home
Class 12
MATHS
If z(1)=3+4i" and "z(2)=2-i, verify that...

If `z_(1)=3+4i" and "z_(2)=2-i`, verify that `|z_(1)z_(2)|=|z_(1)||z_(2)|`.

Text Solution

Verified by Experts

The correct Answer is:
`|z_1||z_2|`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If |z_(1)+z_(2)|=|z_1|+|z_2| then

Let z_(1)=3+4i" and "z_(2)= -1+2i . Then |z_(1)+z_(2)|^(2)-2(|z_(1)|^(2)+|z_(2)|^(2)) is equal to

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

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)|

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))

For any two complex number z_(1) and z_(2) , such that |z_(1)| = |z_(2)| = 1 and z_(1) z_(2) ne -1 , then show that (z_(1) + z_(2))/(1 + z_(1)z_(2)) is real number.

If z_(1)=3-4i , z_(2)=2+i find bar(((z_(1))/(z_(2)))

If z_(1)=3-4i , z_(2)=2+i find z_(1)barz_(1)+z_(2)barz_(2)

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If z(1)=3+4i" and "z(2)=2-i, verify that |z(1)z(2)|=|z(1)||z(2)|.

    Text Solution

    |

  2. If p,q are the roots of ax^(2)-25x+c=0, then p^(3)q^(3)+p^(2)q^(3)+p^(...

    Text Solution

    |

  3. If the ratio of roots of x^(2)+bx+c=0" and "x^(2)+qx+r=0 is the same, ...

    Text Solution

    |

  4. Area of the triangle in the Argand diagram formed by the complex numbe...

    Text Solution

    |

  5. If omega is an imaginary cube root of 1, then (1+omega-omega^(2))^(5)+...

    Text Solution

    |

  6. If |z-3+i|=4, then the locus of z is

    Text Solution

    |

  7. If x satisfies x^(2)-2x cos theta +1=0, then the value of x^(n)+((1)/(...

    Text Solution

    |

  8. The value of [((-1+isqrt(3)))/(2)]^(3n)+[((-1-isqrt(3)))/(2)]^(3n) is

    Text Solution

    |

  9. If theta= (pi)/(6), then the 10th term of the series 1+(cos theta +isi...

    Text Solution

    |

  10. If 4=5i is a root of the quadratic equation x^(2)+ax+b=0, then (a,b)=

    Text Solution

    |

  11. If alpha" and "beta are the roots of the quadratic equation 4x^(2)+3x+...

    Text Solution

    |

  12. If alpha" and "beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k...

    Text Solution

    |

  13. If 3p^(2)=5p+2" and "3q^(2)= 5q+2, where p ne q, then the equation wh...

    Text Solution

    |

  14. The value of ((-1+sqrt(-3))/(2))^(26)+((-1-sqrt(-3))/(2))^(26) is

    Text Solution

    |

  15. If (sqrt(3)-i)^(50)= 2^(48)(x-iy), then x^(2)+y^(2) is equal to

    Text Solution

    |

  16. The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580...

    Text Solution

    |

  17. If |(z-i)/(z+i)|=1, then the locus of z is

    Text Solution

    |

  18. The condition that one root of the equation ax^(2)+bx+c=0 may be squar...

    Text Solution

    |

  19. If alpha is one root of the equation 4x^(2)+2x-1=0, then the other roo...

    Text Solution

    |

  20. If the roots of the equation (a)/(x-a)+(b)/(x-b)=1 are equal in magnit...

    Text Solution

    |

  21. The equation of smallest degree with real coefficients having 2+i3 as ...

    Text Solution

    |