A chord and its bisector
8 written marks
The line \(y=x-2\) meets \((x-2)^2+(y+1)^2=25\) at A and B.
Part a · 4 marks
Find A and B.
Part b · 2 marks
Find the chord midpoint M and exact length AB.
Part c · 2 marks
Find the perpendicular bisector of AB and verify that it contains the circle centre.
Complete-answer checking, worked solutions and indicative written criteria.
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