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NCERT Class XI Mathematics - Complex Numbers and Quadratic Equations - Solutions
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Question : 22 of 52
Marks:
+1,
-0
i
Solution:
We have, z = i, i.e., z = 0 + 1⋅i Let 0 = r cosθ …(i) and 1 = r sinθ …(ii) Squaring and adding (i) and (ii), we get = 1 ⇒ = 1 ⇒ r = 1 ∴ cosθ = 0, sinθ = 1 ⇒ cos θ = cos , sin θ = sin Here, cos θ = 0 and sin θ > 0 ∴ θ lies in first quadrant. ∴ θ = ∴ The required polar form is z = 1
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