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4 marksSimultaneous Equations (Linear and Non-Linear)

CSEC Additional Mathematics · May/June 2007 · Paper 2 · Question 8(i)

The equation of the curve C is 2y = x² + 4. The equation of the line L is y = 3x - k, where k is an integer.

Find the largest value of the integer k for which L intersects C.

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Other parts of this question

  1. 8(ii)In the case where k = – 2, show that the line joining the points of intersection of L and C is bisected by the line y = 2x + 5.[4 marks]

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