4400 Higher June 2008 Paper 4 Q18
18 \(APC\) and \(BPD\) are chords of a circle.
Diagram NOT accurately drawn
\(AP = 4\) cm.
\(BP = 3\) cm.
\(PD = 14\) cm.
\(PC = x\) cm.
Calculate the value of \(x\).
(2)
| Scheme | Marks |
|---|---|
| \(x \times 4 = 3 \times 14\) oe | M1 |
| \(x = 10.5\) oe | A1 |
| (2) | |
| (2 marks) |
Notes
M1: \(\frac{x}{14} = \frac{3}{4}\), \(\frac{3}{3 + 4} = \frac{x}{x + 14}\), \(\frac{4}{3 + 4} = \frac{14}{x + 14}\)