OCR C4 2007 June — Question 6

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2007
SessionJune
TopicImplicit equations and differentiation

6 The equation of a curve is \(x ^ { 2 } + 3 x y + 4 y ^ { 2 } = 58\). Find the equation of the normal at the point \(( 2,3 )\) on the curve, giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.