Edexcel F3 2024 June — Question 1

Exam BoardEdexcel
ModuleF3 (Further Pure Mathematics 3)
Year2024
SessionJune
TopicConic sections
  1. The hyperbola \(H\) has
  • foci with coordinates \(\left( \pm \frac { 13 } { 2 } , 0 \right)\)
  • directrices with equations \(x = \pm \frac { 72 } { 13 }\)
  • eccentricity e
Determine
  1. the value of \(e\)
  2. an equation for \(H\), giving your answer in the form \(p x ^ { 2 } - q y ^ { 2 } = r\), where \(p , q\) and \(r\) are integers.
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