If z1a n dz2 both satisfy z+barz r =2|...

If `z_1a n dz_2` both satisfy `z+barz r =2|z-1| and a r g(z_1-z_2)=pi/4` , then find I m(z_1+z_2) .

Verified by Experts

The correct Answer is:

2

COMPLEX NUMBERS
VK JAISWAL ENGLISH|Exercise EXERCISE-4:MATCHING TYPE PROBLEMS|2 Videos
CIRCLE
VK JAISWAL ENGLISH|Exercise Exercise - 5 : Subjective Type Problems|12 Videos
COMPOUND ANGLES
VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos

Similar Questions

Explore conceptually related problems

If z_1a n dz_2 both satisfy z+ z =2|z-1| and a r g(z_1-z_2)=pi/4 , then find I m(z_1+z_2) .

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

If |z_1-z_0|=z_2-z_1=pi/2 , then find z_0 .

If z_(1) and z_(2) satisfy the equation |z-2|=|"Re"(z)| and arg (z1-z2)=pi/3, then Im (z1+z2) =k/sqrt 3 where k is

If z_1=2-i ,\ z_2=-2+i , find : Im(1/(z_1bar(z_2))) .

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( z )_2dot

Let z_1a n dz_2 be two complex numbers such that ( z )_1+i( z )_2=0 and arg(z_1z_2)=pidot Then, find a r g(z_1)dot

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=- bar z _2dot

if z_(1)=1-i and z_(2) = -2 + 4i then find Im((z_(1)z_(2))/barz_(1))

if z_(1) = 3i and z_(2) =1 + 2i , then find z_(1)z_(2) -z_(1)