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A triangle is formed by the lines whose ...

A triangle is formed by the lines whose combined equation is given by `(x-y-4)(xy-2x-y+2)=0` The equation of its circumcircle is:

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`(x-y-4)(xy-2x-y+2)=0`
`x-y=4`
`xy-2x-y+2=0`
`x(y-2)-1(y-2)=0`
`(x-1)(y-2)=0`
AB is perpendicular to BC
AC is diameter of the circle.
`(x-1)(x-2)+(y-3)(y-2)=0`
...
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