AQA Paper 1 2021 June — Question 12 2 marks

Exam BoardAQA
ModulePaper 1 (Paper 1)
Year2021
SessionJune
Marks2
TopicImplicit equations and differentiation
12 The equation of a curve is $$( x + y ) ^ { 2 } = 4 y + 2 x + 8$$ The curve intersects the positive \(x\)-axis at the point \(P\).
12
  1. Show that the gradient of the curve at \(P\) is \(- \frac { 3 } { 2 }\)
    12
  		2. Find the equation of the normal to the curve at \(P\), giving your answer in the form \(a x + b y = c\), where \(a , b\) and \(c\) are integers.
    [2 marks]
    \(\_\_\_\_\)
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