Higher November 2019 Paper 5 Q21
21 In this question all units are in cm.
A circle has equation \(x^2 + y^2 = 36\).
(a) Write down the radius and centre of the circle. [2]
(b) The distinct points A (\(a\), \(\sqrt{11}\)) and B (\(b\), \(\sqrt{11}\)) lie on the circumference of the circle.
Work out the length AB. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 6 | 1 | ||
| (0, 0) | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 10 | 4 | B3 for 5 and –5 Or M2 for \(x^2 = 25\) Or M1 for \(x^2 + (\sqrt{11})^2 = 36\) | Accept \(a\) or \(b\) for \(x\) |