Triangles

Geometry Level pending

Triangle is formed by the lines \(x+y=0\), \(x-y=0\) and \(lx+my=1\). If \(m\) and \(l\) vary subject to the condition \(l^2+m^2=1\) and the circumcentre of the triangle is \((h,k)\), then find the value of \(\dfrac{(h^2-k^2)^2}{h^2 + k^2}\).

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