| Exam Board | OCR |
|---|
| Module | PURE |
|---|
| Topic | Circles |
|---|
8 In this question you must show detailed reasoning.
A circle has equation \(x ^ { 2 } + y ^ { 2 } - 6 x - 4 y + 12 = 0\). Two tangents to this circle pass through the point \(( 0,1 )\).
You are given that the scales on the \(x\)-axis and the \(y\)-axis are the same.
Find the angle between these two tangents.