# The Ellipsoid

Level pending

The equation to the tangent plane to the ellipsoid $$x^2+4y^2+9z^2=1$$ at point $$(\frac{1}{2},\frac{1}{4},\frac{\sqrt(2)}{3})$$ can be represented as $$a(x-\frac{1}{2})+b(y-\frac{1}{4})+(z-\frac{\sqrt 2}{3}$$=o

$$ab$$ can be written as $$\frac{p}{q}$$ where $$p$$ and $$q$$ are perfect squares. Find $$p+q$$

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