Question 1 [28 marks] 5 marks 5 marks 2 marks 4 marks a. Find the centre and radius of the following circle: x + y-8x +12y = -43. b. Two points A = (1,2) and B = (-4, 10) lie on opposite ends of a diameter as shown in Figure 4. B=(-4, 10)0 -4-2 12 10 8 y 20A = (1,2) 2 4 Figure 4: Illustration showing the circle required. Using this information, complete the following: i Find the equation of the line connecting A and B. ii Does the point (-2,6) lie on the line connecting A and B? 3 iii. Find the distance from the point (2,6) to both points A and B. What can you conclude about this point?