2026 HGV P1 Q13

2026 HGV P1 Q13

Secondary 4
6 marks

In the diagram \(B\), \(C\), \(D\) and \(E\) lie on the circle. Lines \(DE\) and \(CB\) are produced to meet at point \(A\).

  1. Show that \(\angle AEB=\angle ACD\).[2]
  2. Hence show that \(AB\times DC=BE\times AD\).[4]

Solution:

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Answer:(a) \(\angle AEB=\angle ACD\) (shown). (b) \(AB\times DC=BE\times AD\) (shown by \(\triangle AEB\sim\triangle ACD\)).

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