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

question 138

Multiple Choice

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

• A) \(x ^ { 2 } + 8 y ^ { 2 } + z ^ { 2 } = 1\)
• B) \(z ^ { 2 } - 8 y ^ { 2 } = x\)
• C) \(z ^ { 2 } + x ^ { 2 } = - 8 y\)
• D) \(z ^ { 2 } - x ^ { 2 } = - 8 y\)
• E) \(x ^ { 2 } + y ^ { 2 } = 8 z\)

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Definitions:

Perimeter

The total distance around the edge of a geometric figure or shape.

Rectangle

A four-sided flat shape with straight sides where every interior angle is a right angle (90 degrees).

Square Meters

A metric unit of area equal to the area of a square measuring one meter on each side.

Maximum Height

The highest point or peak that an object or function reaches.