Home
Class 12
MATHS
If z(1) and z(2) are two complex numbers...

If `z_(1)` and `z_(2)` are two complex numbers such that `|(z_(1)-z_(2))/(z_(1)+z_(2))|=1`, then

A

`z_(1) = lambda z_(2)`

B

`z_(1) = ilambdaz_(2)`

C

`z_(1) = z_(2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (1) (True and False)|5 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (2) (M.C.Q)|111 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

If z_(1) and z_(2) are two complex number such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1, Prove that i(z_(1))/(z_(2))=k where k is a real number Find the angle between the lines from the origin to the points z_(1)+z_(2) and z_(1)-z_(2) in terms of k

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+z_(2) is

Let z_(1) and z_(2) be two complex numbers such that |(z_(1)-2z_(2))/(2-z_(1)bar(z)_(2))|=1 and |z_(2)|!=1, find |z_(1)|

If z_(1) and z_(2) are two complex numbers such that |z_(1)|= |z_(2)|+|z_(1)-z_(2)| then

If z_(1) and z_(2) are two nonzero complex numbers such that =|z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then argz_(1)-arg z_(2) is equal to -pi b.-(pi)/(2) c.0d.(pi)/(2) e.pi

If z_(1) and z_(2) are to complex numbers such that two |z_(1)|=|z_(2)|+|z_(1)-z_(2)| , then arg (z_(1))-"arg"(z_(2))

If z_(1) and z_(2) are two complex numbers such that z_(1)+2,1-z_(2),1-z, then

If z_(1)-z_(2) are two complex numbers such that |(z_(1))/(z_(2))|=1 and arg (z_(1)z_(2))=0, then