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Gerard Sayson TMUA Mock Paper 1 · Q16

Paper 1Logic & proof

Which of the following is a necessary but not sufficient condition for pp, such that the curves y=x3−xy=x^3-x and y=2x+py=2x+p intersect exactly once?

A∣p∣>1\lvert p\rvert>1
Bp>2p>2
C∣p∣>2\lvert p\rvert>2
Dp=3p=3
E∣p∣>3\lvert p\rvert>3

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