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This is the solution to question 2 from the leaving cert higher level maths paper 2 in 2020. It is a coordinate geometry of the circle question. In part (a) we use the equation of a circle to find the centre and radius and then use these in the theorem of Pythagoras to find the length of BT. In part (b) we sub into the equation of a circle to find the centre of two different circles and then find the equation of these circles.