Complex NumbersHard

Question

If |z1 + z2|2 = |z1|2 + |zz|2 then

Options

A. is purely real
B. is purely imaginary
C. = 0
D.amp may be equal to

Solution

|z1 + z2|2 = |z1|2 + |z2|2

⇒ 
  ⇒  is purely imaginary
so amp is may be or  -

Create a free account to view solution

View Solution Free
Topic: Complex Numbers·Practice all Complex Numbers questions

More Complex Numbers Questions

If z1 = - 3 + 5 i; z2 = - 5 - 3 i and z is a complex number lying on the line segment joining z1 & z2, then arg(z) can b...If Arg (z - 2 - 3i) = , then the locus of z is...The number of solutions of the system of equations Re(z2) = 0, | z | = 2 is -...If z = , then z is equal to -...If z = x + iy and |z − 3| = R(z), then locus of z is-...