Consider the spherical surface E of center at C= (0,0.2) and radius 3. There are two planes parallel to the 6x-2y+z=0 plane and tangent to the spherical surface E. Of these two, suppose that x+by+cz=d is an equation for the closest to the origin (0,0,0). Under these conditions, determine d.

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
SectionP.CT: Test
Problem 1CT
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Consider the spherical surface E of center at C= (0,0.2) and radius 3.
There are two planes parallel to the 6x-2y+z=0 plane and tangent to the spherical surface E. Of these two, suppose that x+by+cz=d is an equation for the closest to the origin (0,0,0). Under these conditions, determine d.

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