If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its center are (-2, 5), then the coordinates of the other end of the diameter are
Since the center divides the diameter into two equal halves.
⇒ Therefore by Midpoint Formula we have,
⇒ and y
Finding the coordinates of another end of diameter:
Finding x-coordinate:
⇒
⇒ -4 = 2 + x2
⇒ x2 = -4-2
⇒ x2 = -6
Finding y-coordinate:
⇒
⇒ 10 = 3 + y2
⇒ y2 = 10-3
⇒ y2 = 7
Therefore the coordinates of another end of diameter are (-6, 7).