nts, in a line, or in a circle? sphere intersects the xz-plane ? sphere intersects the yz-plane ?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter12: Conic Sections
Section12.5: Rotation Of Axes
Problem 1E: Suppose the x- and y-axes are routed through an acute angle to produce the new X- and Y-axes. A...
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Consider the sphere (x−5)^2+(y−4)^2+(z−3)^2=25 

(a) Does the sphere intersect each of the following planes at zero points, at one point, at two
points, in a line, or in a circle?
The sphere intersects the xz-plane
?
The sphere intersects the yz-plane
?
The sphere intersects the xy-plane ?
(b) Does the sphere intersect each of the following coordinate axes at zero points, at one point,
at two points, or in a line?
The sphere intersects the x-axis
?
The sphere intersects the z-axis
?
The sphere intersects the y-axis
?
Transcribed Image Text:(a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? The sphere intersects the xy-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two points, or in a line? The sphere intersects the x-axis ? The sphere intersects the z-axis ? The sphere intersects the y-axis ?
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