JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Let

{z_1}{\text{ }}\,\,{\text{and}}\,\,{\text{ }}{z_2}

be two complex numbers such that

\overline {{z_1}} = i\,\overline {{z_2}} {\text{ }}\,\,{\text{and }}\,\,\arg \left( {\frac{{{z_1}}}{{\overline {{z_2}} }}} \right) = \pi .

then

View answer and explanation

Correct option: C

\arg \,{z_1} = \frac{\pi }{4}

Option C (arg z₁ = π/4) is correct because by using the given relationships between z₁ and z₂ and their arguments, we can solve for arg z₁.

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