Complex NumbersHard
Question
Let z1 and z2 be two non real complex cube roots of unity and |z - z1|2 + |z - z2|2 = λ be the equation of a circle with z1, z2 as ends of a diameter then the value of l is
Options
A.4
B.3
C.2
D.√2
Solution
∵ Circle

so by pythogorous theorem
λ = |w - w2|2 =
= 3

so by pythogorous theorem
λ = |w - w2|2 =
Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
Number of values of x (real or complex) simultaneously satisfying the system of equations 1 + z + z2 + z3 + ....... + z1...The amplitude of 1/i is equal to-...The points z1, z2, z3, z4 in the complex plane are the vertices of a parallelogram taken in order, if and only if...If the area of the triangle on the complex plane formed by complex numbers z, ωz and z + ωz is 4square units, ...If |z| + 2 = I (z), then z = (x, y) lies on -...