Find the equation of a circle circumscribing the triangle whose side are x=0,y=0 and lx+my=1.if l,m vary so that l^2+m^2=4l^2m^2,find the locus of the circumcentre of the circle?
#l^2+m^2=4l^2m^2#
1 Answer
Explanation:
Let
Clearly, the vertices of the
Let us note that,
We know that, the eqn. of a circle having diametric
extremeties
So, the eqn. of the reqd. circle is,
Now
Hence, the centre is
To find the locus of the centre, let,
So, the locus of the circumcentre is
is the unit circle.