Q27 of 29 Page 5

Show that the complex number z, satisfying lies on the circle.

Let z = x + iy






Let α be the acute angle given by,





But it is given that i.e. α = π/4.




⇒ x2 + y2 – 1 = 2y


⇒ x2 + y2 – 1 - 2y = 0


⇒ (x – 0)2 + (y – 1)2 = (√2)2


Which represents a circle.


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