Q28 of 202 Page 212

If |z| = 2 and arg (z) = , find z.

we have, |z| = 2 and arg (z) = ,

Let z = r(cosθ + i sinθ)


We know that, |z| = r = 2


And arg (z) = θ =


Thus, z = r(cosθ + i sinθ) =


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