​Determine the Angle $\theta$ Through Which the Axes Are Rotated $3 x ^ { 2 } - 9 x y + 11 y ^ { 2 } + ( 3 \sqrt { 10 } - 9 ) x - ( 5 \sqrt { 10 } + 10 ) y = 91$

question 6

Multiple Choice

​Determine the angle $\theta$ through which the axes are rotated.Round your answer to two decimal places. $3 x ^ { 2 } - 9 x y + 11 y ^ { 2 } + ( 3 \sqrt { 10 } - 9 ) x - ( 5 \sqrt { 10 } + 10 ) y = 91$ ​​

• A) \(\theta = 79.87 ^ { \circ }\)
• B) \(\theta = 78.87 ^ { \circ }\)
• C) \(\theta = 80.87 ^ { \circ }\)
• D) \(\theta = 77.87 ^ { \circ }\)
• E) \(\theta = 81.87 ^ { \circ }\)

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