(A Math) 2025 CCHY PRELIMS P2 Q9
(A Math) 2025 CCHY PRELIMS P2 Q9
Secondary 4
12 marks
The equation of a circle is \(x^2 + y^2 - 8x - 4y + 15 = 0\).
- Find the radius and coordinates of the centre of the circle.[3]
- Two points are given by \(A(5, -2)\) and \(B(9, 2)\). The perpendicular bisector of \(AB\) cuts the circle at point \(C\) and \(D\). Find the coordinates of \(C\) and of \(D\).[6]
- Find the shortest distance from the origin \(O\) to the line segment \(CD\), giving your answer in the form \(k\sqrt{2}\), where \(k\) is a constant to be determined.[3]
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) \(r=\sqrt{5}\), centre \((4,2)\) (b) \(C(3,4)\), \(D(6,1)\) (c) shortest distance \(=\frac{7}{2}\sqrt{2}\), \(k=\frac{7}{2}\)
Need help? Join our A-Maths tuition classes.
Learn more