Let O be the centre of AB.
Since AB is the diameter, so O is the midpoint of AB.
By section formula which states that if a point P (x , y) divides the line with end points A(x1,y1) and B(x2,y2) in the ration m:n, the coordinates of x and y are:
As midpoint divides the line in the ratio 1:1,
Then, the coordinates of A (x, y) can be calculated as:
⇒ a + 3 = 2(-2)
⇒ a + 3 = -4
⇒ a = -7
⇒ b + 4 = 2(2)
⇒ b + 4 = 4
⇒ b = 0
Hence, coordinate of point A is (-7,0).
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