Q. 14.4( 528 Votes )

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

Answer :

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

y= -10

So, coordinates of A is (3, -10).

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