Give a Geometric Description of the Set of Points Whose $$\mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 16 , \mathrm { x } = - 5$$

question 18

Multiple Choice

Give a geometric description of the set of points whose coordinates satisfy the given conditions.
- $$\mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 16 , \mathrm { x } = - 5$$

• A) The line tangent to the circle \(y ^ { 2 } + z ^ { 2 } = 16\) at the point \(x = - 5\)
• B) The cylinder with the radius 4 along the \(x\)-axis
• C) The circle \(y ^ { 2 } + z ^ { 2 } = 16\) in the plane \(x = - 5\)
• D) All points more than 4 units from the origin

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