Rotate the Axes to Eliminate the Xy-Term in the Equation $x y - 6 = 0$

question 85

Multiple Choice

Rotate the axes to eliminate the xy-term in the equation.Then write the equation in standard form. $x y - 6 = 0$

• A) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)
• B) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)
• C) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 12 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 12 } = 1\)
• D) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 12 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 12 } = 1\)
• E) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 12 } = 1\)

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