Use Rotation of Axes Formulas
- $7 x ^ { 2 } + 6 \sqrt { 3 } x y + y ^ { 2 } - 43 = 0 ; \theta = 30 ^ { \circ }$

question 9

Multiple Choice

Use Rotation of Axes Formulas
- $7 x ^ { 2 } + 6 \sqrt { 3 } x y + y ^ { 2 } - 43 = 0 ; \theta = 30 ^ { \circ }$

• A) \(\frac { x ^ { 2 } } { \frac { 43 } { 10 } } - \frac { y ^ { \prime 2 } } { \frac { 43 } { 2 } } = 1\)
• B) \(\frac { x ^ { \prime 2 } } { \frac { 43 } { 10 } } + \frac { y ^ { \prime 2 } } { \frac { 43 } { 2 } } = 1\)
• C) \(\frac { x ^ { \prime 2 } } { \frac { 1 } { 10 } } - \frac { y ^ { \prime 2 } } { \frac { 1 } { 2 } } = 1\)
• D) \(\frac { x ^ { \prime 2 } } { \frac { 1 } { 10 } } - \frac { y ^ { \prime 2 } } { \frac { 43 } { 2 } } = - 1\)

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