2025 SCGS PRELIMS P1 Q2

2025 SCGS PRELIMS P1 Q2

Secondary 4

5 marks

The straight line \(2x + y = 1\) intersects the curve \(x^2 - xy - y^2 + 5 = 0\) at the points \(A\) and \(B\).

Show that the length \(AB\) is \(5\sqrt{5}\) units.[5]

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Answer:\(AB=5\sqrt{5}\text{ units}\).

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