First slide
Definition of a circle
Question

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

Moderate
Solution

(x+y4)(xy2xy+2)=0 (x+y4)(x1)(y2)=0  ABAC

therefore B C  is diameter, then equation of circumcircle is 

(x2)(x1)+(y2)(y3)=0

x2+y23x5y+8=0

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