CAIE P1 2012 June — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2012
SessionJune
TopicProduct & Quotient Rules
7 The curve \(y = \frac { 10 } { 2 x + 1 } - 2\) intersects the \(x\)-axis at \(A\). The tangent to the curve at \(A\) intersects the \(y\)-axis at \(C\).
  1. Show that the equation of \(A C\) is \(5 y + 4 x = 8\).
  2. Find the distance \(A C\).
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