What is the differential equation corresponding to y2 – 2ay + x2 = a2 by eliminating a?

Where  \({\rm{p}} = \frac{{{\rm{dy}}}}{{{\rm{dx}}}}\)

1
(x2 – 2y2) p2 – 4 pxy – x2 = 0
2
(x2 – 2y2) p2 + 4 pxy – x2 = 0
3
(x2 + 2y2) p2 – 4 pxy – x2 = 0
4
(x2 + 2y2) p2 – 4 pxy + x2 = 0

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