(A Math) 2025 CCHY PRELIMS P1 Q8
(A Math) 2025 CCHY PRELIMS P1 Q8
Secondary 4
9 marks
- Find the value of \(a\) and of \(b\) for which \(\{x:x<-3.5\text{ or}\hspace{0.5em}x>2\}\) is the solution set of \(b<x^2+ax\).[3]
- Find the range of values of \(p\) for which \(y=x^2-px-3x-p\) is always positive.[3]
- Explain whether the line \(y=-5x-2\) intersects the curve \(y=kx^2+3\) where \(k<1\).[3]
Solution:
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Answer:(a) \(a=1.5,\ b=7\) (b) \(-9<p<-1\) (c) The line intersects the curve for every \(k<1\).
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