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9709 P12 - Nov 2012 - Q4 - 6 marks
337

The line \(y = \frac{x}{k} + k\), where \(k\) is a constant, is a tangent to the curve \(4y = x^2\) at the point \(P\). Find

  1. the value of \(k\),
  2. the coordinates of \(P\).
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