2025 PHS P1 Q9

2025 PHS P1 Q9

Secondary 4
7 marks
  1. Find the range of values of \(k\) for which the curve \(y=x^2-3x+2\) meets the line \(y-kx=1\) at two distinct points.[4]
  2. Explain why \(ax^2-7x-3\) cannot be always positive.[3]

Solution:

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Answer:(a) \(k<-5\) or \(k>-1\). (b) At \(x=0\), the expression is \(-3\) for every \(a\).

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