A circle has the equation `x^2 - 10x + y^2 + 6y +25 = 0`
- Express the circle in parametric form. (2 marks)
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- Sketch the circle. (1 mark)
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Show Answers Only
- `x = 5 + 3costheta`
`y = −3 + 3sintheta` -
Show Worked Solution
| i. | `x^2 – 10x + y^2 + 6y+25` | `= 0` |
| `(x – 5)^2 + (y + 3)^2 – 9` | `= 0` | |
| `(x – 5)^2 + (y + 3)^2` | `= 9` |
`=>\ text{Circle centre (5, −3), radius 3}`
`:.\ text(Parametric form is:)`
`x = 5 + 3costheta`
`y = −3 + 3sintheta`
ii.