1. Let A be the sphere having diameter with endpoints (1,-9, -2) and (7,-1,8). (a) Give an equation (in center-radius form) of A. (b) Give an equation (in center-radius form) of the sphere with the same center as A, that is tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate planes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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1. Let A be the sphere having diameter with endpoints (1,-9, -2) and (7,-1,8).
(a) Give an equation (in center-radius form) of A.
(b) Give an equation (in center-radius form) of the sphere with the same center as A, that is
tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate
planes.
Transcribed Image Text:1. Let A be the sphere having diameter with endpoints (1,-9, -2) and (7,-1,8). (a) Give an equation (in center-radius form) of A. (b) Give an equation (in center-radius form) of the sphere with the same center as A, that is tangent to exactly one of the coordinate planes, but does not intersect the other two coordinate planes.
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