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Find the Coordinates of Point A, Where Ab is a Diameter of the Circle with Centre (–2, 2) and B is the Point with Coordinates (3, 4). - Mathematics

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Sum

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

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Solution

 

Let the centre of the circle be O. 
Since AB is the diameter so, O is the midpoint of AB.
Thus, using the section formula,

`(a+3)/(2) = - 2`

⇒ `a = -4 - 3 = -7`

And

`(b + 4)/(2) = 2`

⇒ `b = 4 - 4 = 0`

So, the coordinate of point A is (-7,0).

Concept: Coordinate Geometry
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