2021 NYJC P1 Q2
2021 NYJC P1 Q2
6 marks
Prelims
- On the same axes, sketch the curves with equations, \(y=\left| \frac{ax-3a+2}{3-x} \right|\) and \(y=\frac{a}{3}x\), where \(a>1\), giving the equations of the asymptotes and the coordinates of the points where the curves meet the axes.[3]
- Hence, solve the inequality \(\left| \frac{ax-3a+2}{3-x} \right|>\frac{a}{3}x\), giving your answer in terms of \(a\).[3]
Video Solution:
Video solution locked
A free account saves your progress; this video needs a course plan.
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:(i) Asymptotes \(x=3\), \(y=a\); modulus-curve intercepts \(\left(0,a-\dfrac23\right)\), \(\left(3-\dfrac2a,0\right)\); line intercept \((0,0)\) (ii) \(x<3-\sqrt{\dfrac6a}\), \(\sqrt{9-\dfrac6a}<x<3\), or \(3<x<3+\sqrt{\dfrac6a}\)
Need help? Join our JC Math tuition classes.
Learn more