Higher November 2023 Paper 2 Q23
23. The graph below shows a circle centred at the origin.
(a) Write down the equation of the circle shown on the graph above. [1]
(b) Find the coordinates of the point of intersection of the tangent to the circle above at (0,5) and the line \(y = 2x + 3\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(x^2 + y^2 = 25\) or \(x^2 + y^2 = 5^2\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (1,5) | B2 | Allow \(x = 1\) and \(y = 5\) B1 for \(5 = 2x + 3\) or better |
| (3) |