Question

find the coordinates of point A, where AB is the diameter of a circle whose center is (4,-1) and B(5,2)

Answer 1

I think this is the Answer ...........

Answer 2

im sorry it's so unclean
but it is your answer
see the midpoint O divides the diameter into 1:1 ratio
because in a circle the radius are same so there's a formula of intersection
midpoint x =mx2+nx1/M+n
same for y
if you don't understand anything , you can ask me

but the easiest method is let A (x,y)
(x+5)/2=4. so x=3
(y+2)/2=-1 so y= -4
as O is the midpoint