Find the point(s) on the hyperboloid x2+2y2+z2=324 where the tangent plane is perpendicular to the line with parametric equations x=5-10t, y=2+4t, and z=5-6t.

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Find the point(s) on the hyperboloid x2+2y2+z2=324 where the tangent plane is perpendicular to the line with parametric equations x=5-10t, y=2+4t, and z=5-6t.

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