Home
Class 12
MATHS
|z(1)+z(2)|=|z(1)|+|z(2)| is possible if...

`|z_(1)+z_(2)|=|z_(1)|+|z_(2)|` is possible if

A

`z_(2)=overline(z_(1))`

B

`z_(2)=(1)/(z_(1))`

C

`arg (z_(1))=arg (z_(2))`

D

`|z_(1)|=|z_(2)|`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

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

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)|=|z_(4)| , then the points representing z_(1),z_(2),z_(3),z_(4) are :

For any two complex numbers, z_(1),z_(2) |1/2(z_(1)+z_(2))+sqrt(z_(1)z_(2))|+|1/2(z_(1)+z_(2))-sqrt(z_(1)z_(2))| is equal to

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 complex number z is said to be unimodular if |z| =1 suppose z_(1) and z_(2) are complex numebers such that (z_(1)-2z_(2))/(2-z_(1)z_(2)) is unimodular and z_(2) is not unimodular then the point z_(1) lies on a

A complex number z is said to be the unimodular if |z|=1 . Suppose z_(1) and z_(2) are complex numbers such that (z_(1)-2z_(2))/(2-z_(1)barz_(2)) is unimodular and z_(2) is not unimodular. Then the point z_(1) lies on a

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

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