Edexcel C4 2006 January — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2006
SessionJanuary
TopicImplicit equations and differentiation

  1. A curve \(C\) is described by the equation
$$3 x ^ { 2 } + 4 y ^ { 2 } - 2 x + 6 x y - 5 = 0$$ Find an equation of the tangent to \(C\) at the point \(( 1 , - 2 )\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.