Question

if AB is a diameter and 0(2,-3) is the center.if coordinates of B are(1,4), than find the coordinates of A.
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Answer 1

Step-by-step explanation:

let coordinates of point A

:. x,y

O is the midpoint of AB because O is the centre and AB is the diameter of the circle.

:-by using midpoint formula

$( 2) = ( \frac{x + 1}{2} ) \\ x + 1 = 4 \\ x = 4 - 1 \\ x = 3$

$( - 3) = ( \frac{y + 4}{2} ) \\ - 6 = y + 4 \\ y = - 6 - 4 \\ y = - 10$

Answer:

:Coordinates of point a

:-(3,-10)