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

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 $( 4,1 )$ .

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