Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, – 3) and B is (1, 4)


Let the coordinates of point A be (x, y)

Mid-point of AB is (2, - 3), which is the center of circle


(2, -3) = ()


= 2


x + 1 = 4


x = 3


And, = -3


y + 4 = -6


y = -10


Therefore, the coordinates of A are (3, -10)


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