The points on the surface x2−2y2−3z2 = 33 at which the tangent plane is parallel to the 8x+4y+6z=5 plane are: a. (1,0,1) y (2,3,1) b. (-4√3, √3, -√3) and (-4√3, -√3, √3)  c. (4√3, -√3, -√3) and (-4√3, √3, √3)  d. (-4√3, -√3, -√3) and (-4√3, -√3, √3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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The points on the surface x2−2y2−3z2 = 33 at which the tangent plane is parallel to the 8x+4y+6z=5 plane are:

a. (1,0,1) y (2,3,1)
b. (-4√3, √3, -√3) and (-4√3, -√3, √3) 
c. (4√3, -√3, -√3) and (-4√3, √3, √3) 
d. (-4√3, -√3, -√3) and (-4√3, -√3, √3) 

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