# Minimum Distance in a 3-Dimensional Space

Geometry Level pending

Let $$D$$ be the minimum distance between $$x = 2y^{2}+3z^{2}$$ and $$x+8y+18z+36 = 0$$. What is the value of $$\frac{1}{D^{2}}$$?

$$\textit{Proposed by Tommy}$$

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