If a point $P(x, y)$ moves such that the sum of the squares of its coordinates is equal to their product,then the locus of $P$ excluding the origin is
- A$\frac{1}{x^2}+\frac{1}{y^2}=1$
- B$\frac{1}{x}+\frac{1}{y}=1$
- C$\frac{x}{y}+\frac{y}{x}=1$
- D$x^2+y^2-xy=1$
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