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Question Number 11303 by tawa last updated on 19/Mar/17

Find the equation and radius of the circumference of the triangle formed  by the three lines.  2y − 9x + 26 = 0  9y + 2x + 32 = 0  11y − 7x − 27 = 0

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{and}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circumference}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{formed} \\ $$$$\mathrm{by}\:\mathrm{the}\:\mathrm{three}\:\mathrm{lines}. \\ $$$$\mathrm{2y}\:−\:\mathrm{9x}\:+\:\mathrm{26}\:=\:\mathrm{0} \\ $$$$\mathrm{9y}\:+\:\mathrm{2x}\:+\:\mathrm{32}\:=\:\mathrm{0} \\ $$$$\mathrm{11y}\:−\:\mathrm{7x}\:−\:\mathrm{27}\:=\:\mathrm{0} \\ $$

Answered by ajfour last updated on 20/Mar/17

(2x+3)^2  + (2y−3)^2  = 170

$$\left(\mathrm{2x}+\mathrm{3}\right)^{\mathrm{2}} \:+\:\left(\mathrm{2y}−\mathrm{3}\right)^{\mathrm{2}} \:=\:\mathrm{170} \\ $$

Answered by ajfour last updated on 20/Mar/17

Commented by tawa last updated on 20/Mar/17

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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