2025 MSHS PRELIMS P1 Q13
2025 MSHS PRELIMS P1 Q13
Secondary 4
10 marks
The diagram shows part of the curve \(y = \frac{3}{9 - 2x}\). The point \(P(3, 1)\) lies on the curve and the normal to the curve at \(P\) meets the \(x\)-axis at \(Q\).
- Find the coordinates of \(Q\).[5]
- Find the area of the shaded region bounded by the curve, the normal \(PQ\) and the coordinate axes.[5]
Solution:
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Answer:(a) \(Q=\left(\dfrac{11}{3},0\right)\) (b) \(1.98\text{ units}^2\)
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