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Write the Argument of −I.

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Question

Write the argument of −i.

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Solution

\[\text { Let z } = - i\]

\[\text { Then , Re }\left( z \right) = 0, \text { Im }\left( z \right) = - 1\]

\[\text { Since, the point (0, - 1) representing z = 0 - i lies on negative direction of imaginary axis } . \]

\[\text { Therefore }, \]

\[\arg (z) = \frac{- \pi}{2} \text { or } \frac{3\pi}{2} \]

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Chapter 13: Complex Numbers - Exercise 13.5 [Page 62]

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R.D. Sharma Mathematics [English] Class 11
Chapter 13 Complex Numbers
Exercise 13.5 | Q 9 | Page 62

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