Complex NumbersHard
Question
If |z - z1| = |z1| and |z - z2| = |z2| be the of two circles if the two circles touch each other then
Options
A.Re (z1 z2) = 0
B.Re 
= 0
= 0C.Im (z1 z2) = 0
D.Im 
= 0
= 0
= 0, ± π
= 0More Complex Numbers Questions
If 1, α1, α2, α3, .....α8, are nine, ninth roots of unity (taken in counter-clockwise sequence) then...If 1, α1, α2, α3, α4 be the roots of x5 - 1 = 0, then find the value of (where ω is imaginary c...The sequence S = i + 2i2 + 3i3 +....... upto 100 terms simplifies to where i =...If z, z1 and z2 are complex numbers such that z = z1.z2 and | - z1 ≤ 1. then maximum value of |z| - Re(z) is -...If z = (3 + 7i) (p + iq), where p, q ∈ I - {0}, is purely imaginary, then minimum value of |z|2 is...