Find the equation of a circle circumscri...

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.

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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.

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