diameter of a circle

May 2010
6
0
I have been stuck on this question for about an hour now, can you please help

Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.
 
Jun 2009
806
275
I have been stuck on this question for about an hour now, can you please help

Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.
Center is the mid point of the opposite points of a diameter. If (x, y) are the co-ordinates of the other end of the diameter, then
find the mid point of the diameter and equate it to the co-ordinates of the center.
 
  • Like
Reactions: henry
Jul 2007
894
298
New Orleans
I have been stuck on this question for about an hour now, can you please help

Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.

\(\displaystyle \frac{5-(-3)}{6-2}=\frac{8}{2}\)

Now add

\(\displaystyle 6+2= 8\)

and

\(\displaystyle 5 + 8 = 13\)

so your other point for the diameter is (8,13)
 
  • Like
Reactions: henry