(a) Find the equations of the tangent planes to the conicoid 7.r2 + 5y + 3z2 = 60, which pass through the line 7x + 10y – 30 = 0, 5y – 3z = 0. | (b) Find the equations of the tangent planes to the conicoid 2r2 – 6y? + 322 = 5, which pass through the line T+ 9u 37 = 0 3T – 3u + 6z - 5 = 0
(a) Find the equations of the tangent planes to the conicoid 7.r2 + 5y + 3z2 = 60, which pass through the line 7x + 10y – 30 = 0, 5y – 3z = 0. | (b) Find the equations of the tangent planes to the conicoid 2r2 – 6y? + 322 = 5, which pass through the line T+ 9u 37 = 0 3T – 3u + 6z - 5 = 0
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Can I have a detailed explanation for the part (a) part of the following question?
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
Transcribed Image Text:2. (a) Find the equations of the tangent planes to the conicoid 7x² + 5y? + 3z2 = 60, which
pass through the line 7x + 10y – 30 = 0, 5y – 3z = 0.
(b) Find the equations of the tangent planes to the conicoid 2x2 – 6y? + 322
pass through the line r+ 9y – 3z = 0, 3x – 3y + 6z – 5 = 0.
5, which
(c) Find the equations of the tangent planes to the conicoid
4
+ y?
222 = 1, which are
perpendicular to the line =
3
-
-4"
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