2026 CCHY P1 Q2

2026 CCHY P1 Q2

Secondary 4
7 marks

The equation of a curve is \(y=kx^2+6x+5-k\), where \(k\) is a constant.

  1. Show that there is no real value of \(k\) for which the curve lies completely above the \(x\)-axis.[4]
  2. Find the value(s) of \(k\) for which the line \(y=2x\) is a tangent to the curve.[3]

Solution:

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Answer:(a) No real value. (b) \(k=1,4\).

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