Question 1 [28 marks] 5 marks 5 marks 2 marks 4 marks a. Find the centre...

 

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Question 1 [28 marks] 5 marks 5 marks 2 marks 4 marks a. Find the centre and radius of the following circle: x² + y²-8x +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? Question 1 [28 marks] 5 marks 5 marks 2 marks 4 marks a. Find the centre and radius of the following circle: x² + y²-8x +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?

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1 2 x y 8x 12y 43 x yb equation of a circle 0 x8x 430 3 2 4 x 8x 43 x 8x 8 43 16 8x4 27 a 4 y 1... View the full answer