Home
Class 11
MATHS
If z1, z2 are complex number such that (...

If `z_1, z_2` are complex number such that `(2z_1)/(3z_2)` is purely imaginary number, then find `|(z_1-z_2)/(z_1+z_2)|` .

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (a)|7 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (b)|9 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

If z_1,z_2 are complex numbers such that, (2z_1)/(3z_2) is purely imaginary number then find |((z_1-z_2)/((z_1+z_2))| .

If z_(1), and z_(2) are complex numbers,such that (3z_(1))/(2z_(2)) is purely imaginary,then find |(z_(1)+z_(2))/(z_(1)-z_(2))|]|

If 2z_(1)/3z_(2) is a purely imaginary number,then find the value of |(z_(1)-z_(2))/(z_(1)+z_(2))|

If (2z_(1))/(3z_(2)) is purely imaginary number, then |(z_(1)-z_(2))/(z_(1)+z_(2))|^(4) is equal to

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to