A circle passes through the origin \( O \) and cuts the axis at \( ... VIDEO
A circle passes through the origin \( O \) and cuts the axis at \( A(a, 0) \) and \( B(0, b) \). The reflection of \( O \) in the line \( A B \) is the point
(a) \( \left(\frac{2 a b^{2}}{a^{2}+b^{2}}, \frac{2 a^{2} b}{a^{2}+b^{2}}\right) \)
(b) \( \left(\frac{2 a^{2} b}{a^{2}+b^{2}}, \frac{2 a b^{2}}{a^{2}+b^{2}}\right) \)
(c) \( \left(\frac{2 a b}{a^{2}+b^{2}}, \frac{2 a b}{a^{2}+b^{2}}\right) \)
(d) \( (a, b) \)
\( \mathrm{P} \)
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