Edexcel FP3 — Question 1

Exam BoardEdexcel
ModuleFP3 (Further Pure Mathematics 3)
TopicConic sections
  1. An ellipse has equation \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1\).
    1. Sketch the ellipse.
    2. Find the value of the eccentricity \(e\).
    3. State the coordinates of the foci of the ellipse.
    4. Solve the equation
    $$10 \cosh x + 2 \sinh x = 11 .$$ Give each answer in the form \(\ln a\) where \(a\) is a rational number.
    [0pt] [P5 June 2002 Qn 3]
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