AQA FP1 2005 June — Question 8

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2005
SessionJune
TopicConic sections

8 The diagram shows a part of the curve $$\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 6 } = 1$$ and a chord \(P Q\) of the curve, where \(P\) lies on the \(x\)-axis.
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  1. Write down the coordinates of \(P\).
  2. The gradient of the chord \(P Q\) is 2 . Find the coordinates of \(Q\).