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Equation of the Tangent Plane to the Ellipsoid

Central Conicoids (Part II)
Equation of the Tangent Plane to the Ellipsoid

Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through
the line 5y - 3z = 0 = 7x + 10y - 30.

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