Describe the Given Set of Points with a Single Equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 225$

question 35

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle in which the plane through the point (-8, 12, ) perpendicular to the y-axis meets the sphere of radius 15 centered at the origin.

• A) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 225\) and \(y = 12\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 81\) and \(y = 12\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 63\) and \(y = 12\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 144\) and \(y = 12\)

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