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10. The point (1, 2, 5) is on the quadric surface z = x² + y². Is this point closer to the line with parametric equations x = 1+t, y=2+t, 3+t or the plane 2x + 3y +6z = 12?. You must find use distance formulas used in this class to solve this problem.

10. The point (1, 2, 5) is on the quadric surface z = x² + y². Is this point closer to the line with parametric equations x = 1+t, y=2+t, 3+t or the plane 2x + 3y +6z = 12?. You must find use distance formulas used in this class to solve this problem.

Elementary Geometry For College Students, 7e
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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10. The point (1, 2, 5) is on the quadric surface z = = x² + y². Is this point closer to the line with parametric equations x = 1+t, y=2+t, 3+t or the plane 2x + 3y +6z = 12?. You must find use distance formulas used in this class to solve this problem.
Transcribed Image Text:10. The point (1, 2, 5) is on the quadric surface z = = x² + y². Is this point closer to the line with parametric equations x = 1+t, y=2+t, 3+t or the plane 2x + 3y +6z = 12?. You must find use distance formulas used in this class to solve this problem.
Expert Solution
Step 1

Given

 

1. Point on the quadric surface z=x2+y2 is 1,2,5

2. Parametric equation of the line is x=1+t, y=2+t and z=3+t

3. Equation of the plane is 2x+3y+6z=12

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