Q13 of 184 Page 10

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


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


Since 2, -3) is the midpoint of the line joining (1, 4) and (x,y)




⇒ x + 1 = 4 and y + 4 = -6


⇒ x = 4 – 1 and y = -6 – 4


⇒ x = 3 and y = -10


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


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