We know that centre is the midpoint of diameter of circle.
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 ratio 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:
⇒ 4 = x + 1
⇒ - 6 = y + 4
So, coordinates of A is (3, -10).
Rate this question :