# Let A=(-1,2) and B=(1,-4). A circle is drawn with AB as diameter. If P(m,n) be a point on the circle,find the relation between m and n.?

##### 1 Answer

Feb 23, 2018

See explanation.

#### Explanation:

From the given information we can calculate that:

- The center of the circle is the midpoint of
#AB# , so the center's coordinates are:

- The radius is equal to:

So the equation is:

#m^2+(n+1)^2=10#

If we move all terms to the left side we get: