Find an Equation of the Tangent Line to the Curve $90\left(x^{2}+y^{2}\right)^{2}=1734\left(x^{2}-y^{2}\right)$

Multiple Choice

Find an equation of the tangent line to the curve $90\left(x^{2}+y^{2}\right) ^{2}=1734\left(x^{2}-y^{2}\right)$ at the point (4,1) .

A) $y=-1.11 x+17$
B) $y=1.11 x+5.43$
C) $y=-1.11 x+5.43$
D) $y=-1.11 x+3.43$
E) $\text { None of these }$