Equation of a straight line on the complex plane passing through a ...

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Equation of a straight line on the complex plane passing through a point \( \mathrm{P} \) denoting the complex number
\( \mathrm{P} \) \( \alpha \) and perpendicular to the vector \( \overrightarrow{\mathrm{OP}} \) where ' \( \mathrm{O} \) ' is the origin can be written as
(A) \( \operatorname{Im}\left(\frac{\mathrm{z}-\alpha}{\alpha}\right)=0 \)
(B) \( \operatorname{Re}\left(\frac{z-\alpha}{\alpha}\right)=0 \)
(C) \( \operatorname{Re}(\bar{\alpha} z)=0 \)
(D) \( \bar{\alpha} z+\alpha \bar{z}-2|\alpha|^{2}=0 \)
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