Asked by Ted
A radius of a circle has end points at O(-1,3) and R(2,2). find two possible end points for the diameter that contains this radius. describe any assumptions you make.
Answers
Answered by
Reiny
Since you did not specify which point is the centre we could make either one to be the centre.
case 1.
centre is (-1,3) and (2,2) lies on the circle
let the other point be A(a,b)
midpoint calculation:
(a+2)/2 = -1 and (b+2)/2 = 3
a+2 = -2 and b+2 = 6
a = -4 and b=4
so in case 1 the diameter would go from (2,2) to (-4,4) with the midpoint (the centre) as (-1,3)
case 2
centre is (2,2) .......
give it a try
case 1.
centre is (-1,3) and (2,2) lies on the circle
let the other point be A(a,b)
midpoint calculation:
(a+2)/2 = -1 and (b+2)/2 = 3
a+2 = -2 and b+2 = 6
a = -4 and b=4
so in case 1 the diameter would go from (2,2) to (-4,4) with the midpoint (the centre) as (-1,3)
case 2
centre is (2,2) .......
give it a try
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