NCERT Solution Class XI Mathematics Complex Numbers and Quadratic Equations Question 13 (Mis Ex)

Question 13:

Answer

Let z = r cos θ + ir sin θ

i.e., r cos θ = −1/2 and r sin θ = 1/2

On squaring and adding, we obtain

Therefore, the modulus and argument of the given complex number are 1/√2 and 3π/4 respectively.

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