Find an Equation of the Tangent Line to the Curve $120 \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 2312 \left( x ^ { 2 } - y ^ { 2 } \right)$

question 21

Multiple Choice

Find an equation of the tangent line to the curve $120 \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 2312 \left( x ^ { 2 } - y ^ { 2 } \right)$ at the point $( 4,1 )$ .
Select the correct answer.

• A) \(y = - 1.11 x + 17\)
• B) \(y = - 1.11 x + 3.43\)
• C) \(y = 1.11 x + 5.43\)
• D) \(y = - 1.11 x + 5.43\)
• E) None of these

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