Question

if the coordinates of one end of a diameter of a circle are (2, 3) and the co-ordinate of the centre are(-2,5) then the coordinates of other end of the diameter are

Answer 1

using mid point formula,

(-2,5) =
$\frac{x1 + x2}{2} + \frac{y1 + y2}{2}$

(-2,5) =
$\frac{2 + x2}{2} + \frac{3 + y2}{2}$
$- 2 = 2 + x2$
$x2 = - 4$

$5 = 3 + y2$
$y2 = 2$
thus the coordinates of the other end of diameter are (-4,2)