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Find an Equation for the Surface Consisting of All Points (0,2,0)( 0 , - 2,0 )

Question 9

Multiple Choice

Find an equation for the surface consisting of all points that are equidistant from the point (0,2,0) ( 0 , - 2,0 ) and the plane y=2y = 2 .


A) z2x2=8yz ^ { 2 } - x ^ { 2 } = - 8 y
B) x2+y2=8zx ^ { 2 } + y ^ { 2 } = 8 z
C) x2+8y2+z2=1x ^ { 2 } + 8 y ^ { 2 } + z ^ { 2 } = 1
D) z28y2=xz ^ { 2 } - 8 y ^ { 2 } = x
E) z2+x2=8yz ^ { 2 } + x ^ { 2 } = - 8 y

Correct Answer:

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