Home
Class 12
MATHS
If z1ne-z2 and |z1+z2|=|1/z1 + 1/z2| th...

If `z_1ne-z_2` and `|z_1+z_2|=|1/z_1 + 1/z_2|` then :

A

at least one of `z_1,z_2` is unimodular

B

both `z_1,z_2` are unimodular

C

`z_1 . z_2` is unimodular

D

`z_1 - z_2` is unimodular

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-2 : ONE OR MORE THAN ONE ANSWER IS / ARE CORRECT|10 Videos
  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-3:COMPREHENSION TYPE PROBLEMS|9 Videos
  • CIRCLE

    VK JAISWAL|Exercise Exercise - 5 : Subjective Type Problems|13 Videos
  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos

Similar Questions

Explore conceptually related problems

If z,z=z_(2) and |z_(1)+z_(2)|=|(1)/(z_(1))+(1)/(z_(2))| then

If |z_1+z_2|=|z_1-z_2| and |z_1|=|z_2|, then (A) z_1=+-iz_2 (B) z_1=z_2 (C) z_=-z_2 (D) z_2=+-iz_1

Statement I: If |z_1+z_2|=|z_1|+|z_2|, then Im(z_1/z_2)=0 (z_1,z_2 !=0) Statement II: If |z_1+z_2|=|z_1|+|z_2| then origin, z_1, z_2 are collinear with 'z_1' and z_2 lies on the same side of the origin (z_1,z_2 !=0)

If z_(1)!=z_(2)o*|z_(1)+z_(2)|=|(1)/(z_(1))+(1)/(z_(2))|, then (Z_(1),Z_(2)in C)?

If |z_1 |=|z_2|=|z_3| = 1 and z_1 +z_2+z_3 =0 then the area of the triangle whose vertices are z_1 ,z_2 ,z_3 is