Answer:
See below ~
Step-by-step explanation:
1.
- x² + y² + 14x - 2y = -1
- [x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1
- (x + 7)² + (y - 1)² = 49
- Centre = (x, y) = (-7, 1)
- Radius = √49 = 7
2.
- x² + y² - 10x + 8y - 8 = 0
- [x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0
- (x - 5)² + (y + 4)² = 49
- Centre = (x, y) = (5, -4)
- Radius = √49 = 7
3.
- Points are : (-2, 1) and (4, 3)
- D = √(4 + 2)² + (3 - 1)²
- D = √36 + 4
- D = √40
- D = 2√10
