Find the equation of the circle which circumscribes the triangle formed by the line: `\ \ y=x+2,3y=4x\ a n d\ 2y=3x`

Explanation

Given:


The lines` y=x+2`


`3 y=4 x `


`2 y=3 x`


By solving these lines, we find the intersection points `A(6,8), B(0,0), C(4,6)`


The standard form of the equation of the circle:


`x^{2}+y^{2}+2 a x+2 b y+c=0 ldots (1)`


Put the points (6,8) in equation (1),


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