Home
Class 12
MATHS
If (z(2))/(z(1))(z(1) ne 0) is an imagin...

If `(z_(2))/(z_(1))(z_(1) ne 0)` is an imaginary number, then find the value of `|(2z_(1)+z_(2))/(2z_(1)-z_(2))|`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.1 (SHORT ANSWER QUESTIONS)|17 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.2 (VERY SHORT ANSWER QUESTIONS )|34 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|7 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 (2z_(1))/(3z_(2)) is purely , an imaginary number , then |(z_(1) - z_(2))/(z_(1) + z_(2))| is equal to

If z^(2)+z+1=0 where z is a complex number, then the value of (z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(2)))^(2)+..........+(z^(6)+(1)/(z^(6)))^(2)

If z+1/z=1 and z be any complex number,then the value of z^(99)+(1)/(z^(99)) is

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

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

If (z_(3)-z_(1))/(z_(2)-z_(1)) is a real number, show that the points represented by the complex numbers z_(1),z_(2),z_(3) are collinear.

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

If |z - (2)/(z)| = 1 then find the maximum value of |z|.

If (5z_2)/(7z_1) is purely imaginary , then |(2z_1+3z_2)/(2z_1-3z_2)|=

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - 5.1(VERY SHORT ANSWER QUESTIONS)
  1. Find the multiplicative inverser of the following (3,4)

    Text Solution

    |

  2. Find the multiplicative inverser of the following (sin theta,cos th...

    Text Solution

    |

  3. Find the multiplicative inverser of the following (3 +i)/(1 +i)

    Text Solution

    |

  4. Find the multiplicative inverser of the following i^(-35)

    Text Solution

    |

  5. Find the multiplicative inverser of the following sqrt5 + 3i

    Text Solution

    |

  6. Find the multiplicative inverser of the following -i

    Text Solution

    |

  7. Find the modulus of the following (3-4i) (3 + 4i)

    Text Solution

    |

  8. Find the modulus of the following (4 +3i)/(5-12i)

    Text Solution

    |

  9. If (z(2))/(z(1))(z(1) ne 0) is an imaginary number, then find the valu...

    Text Solution

    |

  10. If z = 5 + (3sqrt2) i, find zbarz.

    Text Solution

    |

  11. Find the complex conjugate fo the following (3 + 4i)

    Text Solution

    |

  12. Find the complex conjugate fo the following (15 + 3i) - (4-20i)

    Text Solution

    |

  13. Write the conjugate of the complex numbers (2+5i)(-4+6i)

    Text Solution

    |

  14. Write the conjugate of the following complex number (5i)/(7+i)

    Text Solution

    |

  15. Find the complex conjugate fo the following (3 +4i) (2 - 3i)

    Text Solution

    |

  16. If z = (cos theta, sin theta), find (z - 1/z)

    Text Solution

    |

  17. If z = 2-3i, then show that z^2 - 4z + 13 = 0

    Text Solution

    |

  18. If (a + ib)^2 = x + iy find x^2 + y^2

    Text Solution

    |

  19. Find real and imaginary parts of the complex number (a + ib)/(a - ib)

    Text Solution

    |

  20. In the Argrand plane, the points represented by the complex numbers 1+...

    Text Solution

    |