Find an Equation for the Surface Consisting of All Points $P$

question 141

Multiple Choice

Find an equation for the surface consisting of all points $P$ for which the distance from $P$ to the $x$ -axis is two times the distance from $P$ to the $y z$ -plane. Select the correct answer.

• A) \(2 x ^ { 2 } = y ^ { 2 } - 2 z ^ { 2 }\)
• B) \(4 x ^ { 2 } = y ^ { 2 } + z ^ { 2 }\)
• C) \(2 x ^ { 2 } = y ^ { 2 } + 2 z\)
• D) \(x ^ { 2 } - y ^ { 2 } - z ^ { 2 } = 2\)
• E) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4\)

---

Definitions:

Guaranteed Investment Certificate

A secure investment that guarantees to return the principal plus interest at a specified rate over a fixed period.

Annual Interest Rate

The percentage of principal that is paid as interest to the lender annually, not accounting for the compound interest within that year.

Maturity Value

The final amount payable at the end of a financial instrument's term, including the principal and accumulated interest.

Commercial Paper

Promissory notes issued by large corporations to borrow funds for a short term.