May/June 2026 Paper 13

2026 · 11 questions · 23 parts · 75 marks

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Context for question 4
The equation of a curve is shown above, where is a constant. The point on the curve has -coordinate 1. The normal to the curve at is parallel to the straight line .
4(a)Differentiation Rules Tangents NormalsMedium3 marks
Find the value of .
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4(b)Differentiation Rules Tangents NormalsHard4 marks
The point is also on the curve. The normal to the curve at is also parallel to the line .
Find the coordinates of the point .
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