Let arg (z) represent the principal argument of the complex number z. The, | z |=3 and arg ( z -1)- arg ( z +1)=(π/4) intersect:

Question

Let arg (z) represent the principal argument of the complex number z. The, | z |=3 and arg ( z -1)- arg ( z +1)=(π/4) intersect: (A) Exactly at one point (B) Exactly at two points (C) Nowhere (D) At infinitely many points.

Tardigrade Admin · Accepted Answer

Q. Let arg (z) represent the principal argument of the complex number z. The, ∣z∣=3 and arg(z−1)− arg(z+1)=4π​ intersect:

Exactly at one point

Exactly at two points

Nowhere

At infinitely many points.

Q. Let $ar g$ (z) represent the principal argument of the complex number $z$ . The, $∣ z ∣ = 3$ and $ar g (z - 1) -$ $ar g (z + 1) = \frac{π}{4}$ intersect: