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# 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). - CBSE Class 10 - Mathematics

ConceptConcepts of Coordinate Geometry

#### 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)

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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.
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