# Maxima and Minima

Calculus Level pending

If the minimum distance of the point $$(1,2,0)$$ from the cone $${ z }^{ 2 }={ x }^{ 2 }+{ y }^{ 2 }$$ is $$\sqrt \frac{a}{b}$$, where $$a$$ and $$b$$ are prime numbers, find $$a+b$$.

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