Use Rotation of Axes Formulas
- $$x ^ { 2 } + 2 x y + y ^ { 2 } - 8 x + 8 y = 0 ; \quad \theta = 45 ^ { \circ }$$

question 39

Multiple Choice

Use Rotation of Axes Formulas
- $$x ^ { 2 } + 2 x y + y ^ { 2 } - 8 x + 8 y = 0 ; \quad \theta = 45 ^ { \circ }$$

• A) \(x ^ { \prime 2 } = - 4 \sqrt { 2 } y ^ { \prime }\)
• B) \(3 x ^ { \prime 2 } - 4 \sqrt { 2 } x ^ { \prime } y ^ { \prime } + y ^ { \prime 2 } = 0\)
• C) \(x ^ { \prime 2 } = - 4 \sqrt { 2 } y ^ { \prime 2 }\)
• D) \(2 x ^ { \prime 2 } - \sqrt { 2 } x ^ { \prime } y ^ { \prime } + 2 y ^ { \prime 2 } = 0\)

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