2026 DSS P1 Q13

2026 DSS P1 Q13

Secondary 4
9 marks

The diagram shows a parallelogram with vertices \(A(14,0)\), \(B(p,q)\), \(C\) and \(D(6,15)\).

The perimeter of the parallelogram is 60 units. The line \(y-x=3\) passes through \(B\).

  1. Show that \(p^2=11p-18\).[6]
  2. Find the coordinates of \(B\), explaining why the diagram is necessary.[3]

Solution:

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Answer:(a) \(p^2=11p-18\). (b) \(B=(2,5)\); the diagram excludes \((9,12)\).

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