- Find the centre and radius of the circle with the equation
- `x^2-4x+y^2+6y+9=0` (2 marks)
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- Sketch the circle on the graph below. (1 mark)
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Show Answers Only
a. `text{Centre}\ (2,-3),\ text{Radius}\ = 2`
b.
Show Worked Solution
| a. | `x^2-4x+y^2+6y+9` | `=0` |
| `x^2-4x+4+y^2+6y+9-4` | `=0` | |
| `(x-2)^2+(y+3)^2` | `=2^2` |
`:.\ text{Centre}\ (2,-3),\ text{Radius}\ = 2`
b.