2025 TKSS PRELIMS P1 Q12

2025 TKSS PRELIMS P1 Q12

Secondary 4
9 marks
2025 Tanjong Katong Secondary School Prelims A Math Paper 1

The diagram shows parts of the curve of \(y=\dfrac{2}{(x-2)^2}-\dfrac{1}{2}\), intersecting the \(x\)-axis at \(O\) and

\(A\) and intersecting the line \(y=7.5\) at \(B\) and \(C\).

  1. Find the coordinates of \(A\), \(B\) and \(C\).[4]
  2. Find the area of shaded region bounded by the curve, the \(x\)-axis and the line \(y=7.5\).[5]

Solution:

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Answer:(a) \(A=(4,0),\ B=\left(\frac{5}{2},7.5\right),\ C=\left(\frac{3}{2},7.5\right)\) (b) \(12\text{ units}^2\)

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