Foundation November 2019 Paper 3 Q10
10 A line joins \(A\) (1, 1) and \(B\) (6, 1) on a centimetre grid.
\(P\) is a point on the line \(AB\) such that
\(AP : PB = 2 : 3\)
\(C\) is a point such that
angle \(APC\) is 90°
and
\(PC = 4\) cm
Write down the coordinates of the two possible points for \(C\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| (3, 1) marked on the grid or stated for \(P\) | B1 | implied by (3, 5) or (3, −3) |
| (3, 5) and (3, −3) | B2ft | ft 4 squares vertically above their (3, 1) and 4 squares vertically below their (3, 1) with \(P\) on the line \(AB\) but not at \(A\) or \(B\) B1ft (3, 5) or (3, −3) SC2 (3, 5) and (3, −3) correctly marked on grid SC1 (3, 5) or (3, −3) correctly marked on grid |
Additional guidance
| If more than one point marked on the line \(AB\) then \(P\) must be labelled or used to locate \(C\) | |
| \(P\) (4, 1) Answers (4, 5) and (4, −3) | B0 B2ft |
| \(P\) (4, 1) Answers (4, 5) and (4, 9) | B0 B1ft |