Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(-2, 4, 3) is twice the distance from P to B(6, 3, -1). 26 2 16 7 172 (x - 28 )² + (x - ¹8 )² + ( ² + 3 ) ² = ¹7² 3 3 3 Find its center and radius. center (x, y, z) radius 26 16 3' 3 172 3 1100 3 X X ) X

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a...
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Find an equation of the sphere containing all surface points

P = (x, y, z)

 such that the distance from P  to 

A(−2, 4, 3)

 is twice the distance from P  to 

B(6, 3, −1).
Find an equation of the sphere containing all surface points P =
26
16
72
172
( x − ²6 )² + (x − ¹6 )² + ( = + })² = ¹7²
3
3
3
3
Find its center and radius.
center
radius
(x, y, z)
= (
26 16
3' 3
172
3
9
730
X
X
X
(x, y, z) such that the distance from P to A(-2, 4, 3) is twice the distance from P to B(6, 3, −1).
Transcribed Image Text:Find an equation of the sphere containing all surface points P = 26 16 72 172 ( x − ²6 )² + (x − ¹6 )² + ( = + })² = ¹7² 3 3 3 3 Find its center and radius. center radius (x, y, z) = ( 26 16 3' 3 172 3 9 730 X X X (x, y, z) such that the distance from P to A(-2, 4, 3) is twice the distance from P to B(6, 3, −1).
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