Rotate the Axes to Eliminate The $x y$ -Term in the Equation Below and Then Write the Equation

question 120

Multiple Choice

Rotate the axes to eliminate the $x y$ -term in the equation below and then write the equation in standard form.
$$x y + 1 = 0$$

• A) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { ( \sqrt { 2 } ) ^ { 2 } } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { ( \sqrt { 2 } ) ^ { 2 } } = 1\)
• B) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { ( \sqrt { 2 } ) ^ { 2 } } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { ( \sqrt { 2 } ) ^ { 2 } } = 1\)
• C) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 2 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 2 } = 1\)
• D) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 2 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 2 } = 1\)
• E) \(\frac { \left( y ^ { \prime } \right) ^ { 2 } } { ( \sqrt { 2 } ) ^ { 2 } } - \frac { \left( x ^ { \prime } \right) ^ { 2 } } { ( \sqrt { 2 } ) ^ { 2 } } = 1\)

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Definitions:

Notes Receivable

A claim against a debtor for an uncollected amount, typically evidenced by a formal instrument of credit.

Face Value

The nominal value printed on a bond, note, or other financial instrument, representing its value at maturity.

Promissory Note

A financial instrument containing a written promise by one party to pay another party a definite sum of money either on demand or at a specified future date.

Dishonored

A term used when a financial instrument, such as a check or bill of exchange, is not paid upon presentation or when agreed terms are not met.