Question

Ab is diameter of circle with centre at orgin what are the coordinate of b if coordinate of a (3,-4)

Answer 1

The diameter is equally divided into two parts from the centre of the circle. i. e. Radius.

Let the centre of the circle be O.

$ao = bo$
the coordinates are o (0,0) a (x,y) b (3,-4)

$0 = \frac{x + 3}{2}$

$0 = x + 3 \\ x = - 3$
$0 = \frac{y + ( - 4)}{2 }$

$0 = \frac{y - 4}{2}$
$0 = y - 4$
$y = 4$
Therefore the correct ordinates are a (-3,4)