Question

give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations

1. x2 + y2 + (z + 3)2 = 25, z = 0

2. x2 + ( y - 1)2 + z2 = 4, y = 0

3. x2 + y2 = 4, z = y

4. x2 + y2 + z2 = 4, y = x

5. y = x2, z = 0

6. z = y2, x = 1

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