The points on the curve \( 5 x^{2}-8 x y+5 y^{2}=4 \) whose distance from the origin is maximum ...

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The points on the curve \( 5 x^{2}-8 x y+5 y^{2}=4 \) whose distance from the origin is maximum or minimum are:
(a) \( (\sqrt{2}, \sqrt{2}) \)
(b) \( (-\sqrt{2},-\sqrt{2}) \)
(c) \( \left(-\frac{\sqrt{2}}{3},-\frac{\sqrt{2}}{3}\right) \)
(d) \( \left(-\frac{\sqrt{2}}{3}, \frac{\sqrt{2}}{3}\right) \)
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