Let z1 and z2 be two complex numbers such that ${\overline z _1} = i{\overline z _2}$ and $\arg \left( {{{{z_1}} \over {{{\overline z }_2}}}} \right) = \pi $. Then :

Question

Let z₁ and z₂ be two complex numbers such that ${\overline z _1} = i{\overline z _2}$ and $\arg \left( {{{{z_1}} \over {{{\overline z }_2}}}} \right) = \pi $. Then :

$\arg {z_2} = {\pi \over 4}$

$\arg {z_2} = - {{3\pi } \over 4}$

$\arg {z_1} = {\pi \over 4}$

$\arg {z_1} = - {{3\pi } \over 4}$

Solution

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