Give a Geometric Description of the Set of Points Whose $$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49 , z = 1$$

question 85

Multiple Choice

Give a geometric description of the set of points whose coordinates satisfy the given conditions.
- $$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49 , z = 1$$

• A) All points within the sphere \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49\) and above the plane \(z = 1\)
• B) All points on the sphere \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 49\) and above the plane \(z = 1\)
• C) The sphere \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1\)
• D) The circle \(x ^ { 2 } + y ^ { 2 } = 48\) in the plane \(z = 1\)

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