Show that quadrilateral formed by the straight lines x-y=0, 3x+2y=5,x-y=10 and 2x+3y=0 is cyclic and hence find equation of the circle.

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{As} \mathrm{you} \mathrm{can} \mathrm{see} \mathrm{in} \mathrm{the} \mathrm{above} \mathrm{graph}, \mathrm{the} \mathrm{four} \mathrm{given} \mathrm{lines} \mathrm{do} \mathrm{not} \mathrm{form} \\ \mathrm{a} \mathrm{closed} \mathrm{quadrilateral}. \end{gathered}$$

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