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Coordinate Geometry
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09/06/2021 2:43 pm
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Find the coordinates of a point A, where AB is the diameter of circle whose centre is (2, – 3) and B is (1, 4).
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09/06/2021 2:44 pm
Let the coordinates of point A be (x, y).
Mid-point of AB is (2, -3), which is the centre of the circle.
Coordinate of B = (1, 4)
(2, -3) =((x+1)/2 , (y+4)/2)
(x+1)/2 = 2 and (y+4)/2 = -3
x + 1 = 4 and y + 4 = -6
x = 3 and y = -10
The coordinates of A(3,-10).