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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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.

Find an equation of thetangentplane to the parametric surface x = 5rcos(theta), y = 3rsin(theta), z = rat the point (5sqrt(2), 3 sqrt(2), 2) where r = 2 and theta = pi/4.

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x - 12y + 40 = 0
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x

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