Home
Class 11
MATHS
If z(1),z(2) are two complex numbers sat...

If `z_(1),z_(2)` are two complex numbers satisfying the equation :
`|(z_(1)-z_(2))/(z_(1)+z_(2))|=1` , then `(z_(1))/(z_(2))` is a number which is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1), z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0 and Im(z_(1) z_(2))=0 , then

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| , then arg. z_(1)- arg. z_(2) equals :

Let z_(1) and z_(2) be two complex numbers such that |z_(1)+z_(2)|^(2)=|z_(1)|^(2)+|z_(2)|^(2) . Then,

If z_(1),z_(2),z_(3) are complex numbers such that : |z_(1)|=|z_(2)|=|z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 , then |z_(1)+z_(2)+z_(3)| is equal to

If z_(1), z_(2), z_(3) are three complex numbers in A.P., then they lie on

All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 lie on the

All complex numers z, which satisfy the equation |(z-i)/(z+i)|=1 lie on the

The complex number z which satisfies the Equation |(i+z)/(i-z)|=1 lies on

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find z_(1)+z_(2) .

The complex numbers z_(1), z_(2), z_(3) satisfying (z_(1)-z_(3))/(z_(2)-z_(3))=(1-i sqrt(3))/(2) are the vertices of a triangle which is