If \( z_{1} \) and \( z_{2} \) are two complex numbers such that \(...

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If \( z_{1} \) and \( z_{2} \) are two complex numbers such that \( \left|z_{1}+z_{2}\right|^{2}=\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \), then
(a) \( z_{1} \bar{z}_{2} \) is purely imaginary
(b) \( z_{1} / z_{2} \) is purely imaginary
(c) \( z_{1} \bar{z}_{2}+\bar{z}_{1} z_{2}=0 \)
(d) \( O, z_{1}, z_{2} \) are vertices of a right triangle
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