Find the coordinates of point A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1, 4).
Let O be the center O(2,-3)
⇒ A(x,y) B(1,4)
∴ O divides AB internally in ratio 1:1
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x + 1 = 4
x = 3
y + 4 = -6
y = -10
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