Equation of a straight line on the complex plane passing through a point \( P \) denoting the co...

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Equation of a straight line on the complex plane passing through a point \( P \) denoting the complex number \( \alpha \) and perpendicular to the vector \( \overrightarrow{O P} \) where \( O \) in the origin?
(a) \( \operatorname{Im}\left(\frac{z-\alpha}{\alpha}\right)=0 \)
(b) \( \operatorname{Re}\left(\frac{z-\alpha}{\alpha}\right)=0 \)
(c) \( \operatorname{Re}(\bar{\alpha} z)=0 \)
(d) \( \bar{\alpha} z+\alpha z-2|\alpha|^{2}=0 \)
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\( \mathrm{P} \)
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