Let A = (3, 2, -1) and B = (5, -6, 3), with the line segment AB forming the diameter of a sphere. Find the equation of the sphere. A (x - 2)² + (y + 4)² + (z − 1)² = 441 (x-3)² + (y-2)² + (z + 1)² = 114 (x-4)² + (y + 2)² + (z-1)² = 21 (x - 5)² + (y + 6)² + (z-3) ²= 11

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 36RE
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Let A = (3, 2, -1) and B=(5, -6, 3), with the line segment AB forming the diameter of a sphere. Find the equation of the sphere.
A
(x - 2)² + (y + 4)² + (z − 1)² = 441
(В)
(x - 3)² + (y-2)² + (z + 1)² = 114
(x-4)² + (y + 2)² + (z − 1)² = 21
(x - 5)² + (y + 6)² + (z - 3)² = 11
Transcribed Image Text:Let A = (3, 2, -1) and B=(5, -6, 3), with the line segment AB forming the diameter of a sphere. Find the equation of the sphere. A (x - 2)² + (y + 4)² + (z − 1)² = 441 (В) (x - 3)² + (y-2)² + (z + 1)² = 114 (x-4)² + (y + 2)² + (z − 1)² = 21 (x - 5)² + (y + 6)² + (z - 3)² = 11
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