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Question
The line segment joining A( 2,9) and B(6,3) is a diameter of a circle with center C. Find the coordinates of C
Solution
The given points are A( 2,9) and B(6,3) .
Then , C (x,y) is the midpoint of AB .
`x = (x_1+x_2)/2 , y = (y_1 +y_2) /2`
`⇒ x = (-2+6)/2 , y = (9+3)/2`
`⇒ x = 4/2 , y = 12/2 `
`⇒ x = 2 , y=6`
Therefore, the coordinates of point C are (2,6 ).
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