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# Equation of the Tangent Plane to the Ellipsoid

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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.

https://brainmass.com/math/graphs-and-functions/equation-tangent-plane-ellipsoid-16495

#### Solution Preview

CENTRAL CONICOIDS (Part II)

Written by :- Thokchom Sarojkumar Sinha

Problem
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

Solation :- The equation of the given ellipsoid is (7/60)x2 + (5/60)y2 + (3/60)z2 =1 ..........(1)
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#### Solution Summary

This solution is comprised of a detailed explanation for finding the equation of the tangent plane to the ellipsoid.
It contains step-by-step explanation for finding the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60
which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
Solution contains detailed step-by-step explanation.

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