Find the coordinates of a point A,


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


Let the co-ordinates of point A be $(x, y)$.

Centre lies on the mid-point of the diameter. So applying the mid-point formula we get,






So the co-ordinates of A are (3,−10)

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