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Equation of the tangent plane to the central conicoid

Problem 1 Find the equation of the tangent plane to the central conicoid x2 - 4y2 + 3z2 + 2 = 0
at the point (1,2,0).

Problem 2 Find whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.

Solution Summary

This solution is comprised of a detailed explanation for finding the equation of the tangent plane to the central conicoid.
It contains step-by-step explanation for finding the equation of the tangent plane to the central conicoid
x2 - 4y2 + 3z2 + 2 = 0
at the point (1,2,0) and whether the plane 2x + 3y + 2z =3 touches the central conicoid 2x2 + 3y2 + z2 = 1 or not.
Solution contains detailed step-by-step explanation.

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