Edexcel C4 — Question 2

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
TopicImplicit equations and differentiation

2. A curve has the equation $$3 x ^ { 2 } + x y - 2 y ^ { 2 } + 25 = 0$$ Find an equation for the normal to the curve at the point with coordinates \(( 1,4 )\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.