Find the equation of a circle circumscribing the triangle whose sides are `x=0, y=0 and lx + my = 1`. If `l, m` can vary so that `l^2 + m^2 = 4l^2 m^2`, find the locus of the centre of the circle.

Find the equation of a circle circumscribing the triangle whose sides are x=0 , y=0 and lx +my =1. If l, m vary so that l^(2) + m^(2) = 4l^(2)m^(2) , find the locus of the centre of the circle.

Find the equation of a circle circumscribing the triangle whose sides are 2x+y-3=0, 3x-y-7=0 and x-2y+1=0.

Find the equation of the circle which circumscribes the triangle formed by the lines x=0,y=0 and lx+my=1

Find the equation of the circle which circumscribes the triangle formed by the lines x=0,\ y=0\ a n d\ l x+m y=1.

Property 6 The family of circles circumscribing a triangle whose sides are L_(1);L_(2) and L_(3)=0

A triangle is formed by the lines x+y=0,x-y=0 and lx+my+1=0 . If l and m vary subject to the condition l^(2)+m^(2)=1 , then the locus of the circumcentre of the triangle is

If the locus of the circumcentre of variable triangle having sides x = 0 , y = 2 and lx + my = 1 where (l , m) lies on the Parabola y^(2) = 4 ax is a curve 'C' then Coorrdinates of the vertex of this curve 'C' is _

If the line lx + my = 1 is a tangent to the circle x^(2) + y^(2) = a^(2) , then the point (l,m) lies on a circle.

The locus of the circumcenter of a variable triangle having sides the y-axis, y=2, and lx+my=1, where (l,m) lies on the parabola y^(2)=4x , is a curve C. The coordinates of the vertex of this curve C is