# Is this even possible?

Algebra Level 2

Consider the $$4$$ distinct points $$(a, \frac{1}{a}), (b, \frac{1}{b}), (c, \frac{1}{c}), (d, \frac{1}{d})$$ lying on a circle, centered at the origin, of radius $$4$$.

Find $$a\times b\times c\times d$$.

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