The base of a triangle passes through a fixed point(f,g) and it's sid

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The base of a triangle passes through a fixed point(f,g) and it's sides are respectively bisected right angles by the lines y^2-8xy-9x^2=0.Determine the locus of its vertex.

The base of a triangle passes through a fixed point(f,g) and it's sides are respectively bisected right angles by the lines y^2-8xy-9x^2=0.Determine the locus of its vertex.

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