Find an Equation for the Surface Consisting of All Points $\text { three }$

question 7

Multiple Choice

Find an equation for the surface consisting of all points P for which the distance from P to the x-axis is $\text { three }$ times the distance from P to the yz-plane.

• A) \(9 x ^ { 2 } = y ^ { 2 } + z ^ { 2 }\)
• B) \(3 x ^ { 2 } = y ^ { 2 } + 3 z\)
• C) \(x ^ { 2 } - y ^ { 2 } - z ^ { 2 } = 3\)
• D) \(3 x ^ { 2 } = y ^ { 2 } - 3 z ^ { 2 }\)
• E) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9\)

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