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

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 $z = 1$