2026 AHS P1 Q6

2026 AHS P1 Q6

Secondary 4
7 marks

The line \(x-2y+7=0\) cuts the curve \(3x^2+2y^2=35\) at the points \(A\) and \(B\).

  1. Find the coordinates of \(A\) and of \(B\).[5]
  2. Find the area of triangle \(OAB\), where \(O\) is the origin.[2]

Solution:

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Answer:(a) \((1,4)\) and \((-3,2)\). (b) \(7\text{ units}^2\).

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