Answer :

Let z = x + iy

Let α be the acute angle given by,

But it is given that i.e. α = π/4.

⇒ x^{2} + y^{2} – 1 = 2y

⇒ x^{2} + y^{2} – 1 - 2y = 0

⇒ (x – 0)^{2} + (y – 1)^{2} = (√2)^{2}

Which represents a circle.

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