Find an Equation for the Surface Consisting of All Points $P$

question 134

Multiple Choice

Find an equation for the surface consisting of all points $P$ for which the distance from $P$ to the $x$ -axis is two times the distance from $P$ to the $y z$ -plane.

• A) \(2 x ^ { 2 } = y ^ { 2 } - 2 z ^ { 2 }\)
• B) \(4 x ^ { 2 } = y ^ { 2 } + z ^ { 2 }\)
• C) \(2 x ^ { 2 } = y ^ { 2 } + 2 z\)
• D) \(x ^ { 2 } - y ^ { 2 } - z ^ { 2 } = 2\)
• E) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4\)