2025 BVSS PRELIMS P1 Q10

2025 BVSS PRELIMS P1 Q10

Secondary 4
7 marks
2025 Bedok View Secondary School Prelims A Math Paper 1

An isosceles triangle \(PQR\) has vertices \(P(1, 0)\), \(Q(0, 2)\) and \(R(2, 3)\). \(PQ = QR\).

  1. Find the area of the triangle \(PQR\).[2]
  2. If \(S\) is a point such that \(PQRS\) is a kite and it also lies on the line \(x - y = 5\), find the coordinates of \(S\).[5]

Solution:

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Answer:(a) \(2.5\text{ units}^2\) (b) \(\left(\frac{21}{4},\frac14\right)\)

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