Home
Class 12
MATHS
If z1 and z2 unimodular complex number t...

If `z_1` and `z_2` unimodular complex number that satisfy `z_1^2 + z_2^2 = 4` then `(z_1 + bar(z_1))^2 ( z_2 + bar(z_2))^2` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos
  • B.Arch 2021 (B)

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|7 Videos

Similar Questions

Explore conceptually related problems

If z_(1) and z_(2) are unimodular complex numbers that satisfy z_(1)^(2)+z_(2)^(2)=4, then (z_(1)+bar(z)_(1))^(2)+(z_(2)+bar(z)_(2))^(2) equals to

If z_(1) and z_(2) are two unimodular complex numbers that satisfy z_(1)^(2)+z_(2)^(2)=5 , then |z_(1)-bar(z)_(1)|^(2)+|z_(2)-bar(z)_(2)|^(2) is equal to

For two unimodular complex numbers z_1 and z_2, then [(bar z_1,-z_2),(bar z_2,z_1)]^-1[(z_1,z_2),(bar (-z_2),bar z_1)]^-1 is equal to

If z_1 and z_2 are two complex numbers such that |z_1|lt1lt|z_2| then prove that |(1-z_1barz_2)/(z_1-z_2)|lt1

If z_(1) and z_(2) are two complex number such that |z_(1)|<1<|z_(2)| then prove that |(1-z_(1)bar(z)_(2))/(z_(1)-z_(2))|<1

If z_1 and z_2 are two nonzero complex numbers such that |z_1-z_2|=|z_1|-|z_2| then arg z_1 -arg z_2 is equal to