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.?

Question

7537 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-23T08:37:59

See 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:

#S=((-1+1)/2;(2+(-4))/2)=(0;-1)#

#r=|SA|=sqrt((0+1)^2+(-1-2)^2)=sqrt(10)#

So the equation is:

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

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