2025 JVSS PRELIMS P1 Q4

2025 JVSS PRELIMS P1 Q4

Secondary 4
5 marks
2025 Jurongville Secondary School Prelims A Math Paper 1

The line \(y - x = 5\) intersects the curve \(x^2 + xy + y^2 = 91\) at two points. Find the coordinates of these two points.[5]

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Answer:\(\left(\dfrac{-5+\sqrt{113}}{2},\dfrac{5+\sqrt{113}}{2}\right)\) and \(\left(\dfrac{-5-\sqrt{113}}{2},\dfrac{5-\sqrt{113}}{2}\right)\)

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