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 74

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

---

Definitions:

Clifford Sifton

A Canadian politician known for his role in promoting the immigration of settlers to the prairies in the early 20th century.

Bird Sanctuary

A designated area that provides habitat and protection for bird species to live and breed, often to conserve endangered species.

Conservation

The planned management of a natural resource to prevent exploitation, destruction, or neglect, ensuring its sustainability for future generations.