2025 NASS P2 Q4

2025 NASS P2 Q4

Secondary 4
9 marks
  1. Given that the line \(y=m-6x\) is a tangent to the curve \(y=10x^2-nx+2m\), show that \(m\) cannot be negative.[4]
  2. Find the range of values of \(k\) for which
    1. the graph of \(y=2x^2-6x+1+k\) lies completely above the \(x\)-axis,[2]
    2. \(kx^2+(k+1)x+k\) is always negative.[3]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(m=\dfrac{(6-n)^2}{40}\geq0\); (b)(i) \(k>\dfrac72\); (ii) \(k<-\dfrac13\).

Need help? Join our JC Math tuition classes.

Learn more