#### Question

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

#### Solution

Let the coordinates of point A be (x,y)

Centre lies on the mid-point of the diameter. So applying the mid-point formula we get,

`(x + 1)/2 = 2`

x = 3

Similarly,

`(y + 4)/2 = -3`

y = -10

So the coordinates of A are (3,-10)

Is there an error in this question or solution?

#### APPEARS IN

Solution Find the Coordinates of a Point A, Where Ab is a Diameter of the Circle Whose Centre is (2, -3) and B is (1, 4). Concept: Concepts of Coordinate Geometry.