# 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.

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

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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.