Complex NumbersHard
Question
Let z and ω are two complex numbers such that | z | ≤ 1, | ω | ≤ 1 and | z + iω | = | z - i
|= 2, then z equals -
Options
A.1 or i
B.i or -i
C.1 or - 1
D.i or - 1
More Complex Numbers Questions
If z1, z2 are two complex numbers such that = 1, then origin and z1, z2 are vertices of a triangle which is -...The set of points on an Argand diagram which satisfy both |z| ≤ 4 & Arg z = is :...If the area of the triangle on the complex plane formed by complex numbers z, ωz and z + ωz is 4square units, ...Let z, w be complex numbers such that and arg zw = π. Then arg z equals...The number of solutions of the equation in z, z - (3 + i) z - (3 - i) - 6 = 0 is :...