2025 AHS PRELIMS P1 Q8

2025 AHS PRELIMS P1 Q8

Secondary 4
6 marks

The equation of a curve is \(y=-\frac{5}{8}x+\frac{6}{x}\), where \(x>0\). Given that the gradient of the normal at point \(P\) is 1, find

  1. the coordinates of \(P\),[4]
  2. the equation of the normal at the curve at \(P\).[2]

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Answer:(a) \(P=(4,-1)\) (b) \(y=x-5\)

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