Q. 13 A5.0( 5 Votes )

# one end of a diameter of a circle is at (2,3) and the center is (-2,5), find the coordinates of the other end of the diameter.

Answer :

Let the coordinates of the other end be (x,y).

Since (-2, 5) is the midpoint of the line joining (2,3) and (x,y)

⇒ x + 2 = -4 and y + 3 = 10

⇒ x = -4 – 2 and y = 10 – 3

⇒ x = -6 and y = 7

Hence, the coordinates of the other end are (-6, 7)

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