4400 Higher November 2010 Paper 4 Q3
3
The point \(A\) has coordinates (3, 2) and the point \(B\) has coordinates (11, 10).
(a) Find the coordinates of the midpoint of \(AB\). (2)
\(AB\) is a diameter of a circle.
\(CD\) is another diameter of this circle.
\(CD\) is perpendicular to \(AB\).
(b) Find the coordinates of \(C\) and the coordinates of \(D\). (2)
| Scheme | Marks |
|---|---|
| (7, 6) | B2 |
| (2) |
Notes
B2: B1 for 7 B1 for 6
| Scheme | Marks |
|---|---|
| \(C\) (3, 10) \(D\) (11, 2) or \(C\) (11, 2) \(D\) (3, 10) | B2 |
| (2) | |
| (4 marks) |
Notes
B2: B1 for (3, 10) B1 for (11, 2)