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

---

Definitions:

Shock Machine

Often associated with psychological experiments, it refers to a device used to deliver an electric shock to a subject, typically used in studies on obedience, learning, and punishment.

Stanley Milgram

A psychologist best known for his research on obedience to authority, which revealed how people are willing to follow orders even when it results in harming others.

Obedience

Compliance with an order, request, or law, or submission to another's authority.

Volts

The unit of measurement for electric potential difference or electromotive force, symbolizing the force that drives electrons through a conductor.