2025 SCGS PRELIMS P2 Q9
2025 SCGS PRELIMS P2 Q9
Secondary 4
11 marks
- Find the equation of the normal to the curve \(y=\frac{2x-6}{x-2}\) at the point where the curve meets the \(y\)-axis.[4]
- Determine, with explanation, whether \(y\) is an increasing or decreasing function for \(x>2\).[2]
- A curve is such that \(\frac{d^2y}{dx^2}=(3x+1)^2\) and the point \(Q(2,36)\) lies on the curve. The gradient of the curve at \(Q\) is 45. Find the equation of the curve.[5]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a)(i) \(y=-2x+3\); (ii) increasing for \(x>2\). (b) \(y=\dfrac34x^4+x^3+\dfrac12x^2+7x\).
Need help? Join our A-Maths tuition classes.
Learn more