2025 AISS PRELIMS P1 Q12

2025 AISS PRELIMS P1 Q12

Secondary 4
9 marks
2025 Ahmad Ibrahim Secondary School Prelims A Math Paper 1

The diagram shows part of the curve \(y=\dfrac{10}{4x+1}\) intersecting the \(y\)-axis at \(A(0,\ 10)\). The tangent to the curve at the point \(P(1,\ 2)\) intersects the \(y\)-axis at \(B\).

  1. Show that the coordinates of \(B\) is \((0,\ 3.6)\).[4]
  2. Find the exact area of the shaded region.[5]

Solution:

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Answer:(a) \(B=(0,3.6)\) (b) \(\left(\dfrac{5}{2}\ln 5-\dfrac{14}{5}\right)\text{ units}^2\)

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