Circle Inscribing a Triangle Formed by 3 Given Lines

Q. The equation of the circumcircle of the triangle formed by the lines x = 0, y = 0, 2x + 3y = 5 is

1. $x^2+y^2+2x+3y-5=0$
2. $6(x^2+y^2)-5(3x+2y)=0$
3. $x^2+y^2-2x-3y+5=0$
4. $6(x^2+y^2)+5(3x+2y)=0$

Q.

Find the equation of the circle circumscribing the triangle formed by the lines $L_1=0,L_2=0$and $L_3=0$

1. $L_1+\lambda L_2+\mu L_3=0$

2. $L_1{L}_2+\lambda L_2{L}_3+\mu L_3{L}_1=0$

3. $L_1{L}_2{L}_3=0$

4. $L_1^2+\lambda L_2^2+\mu L_3^2=0$

Q.

Find the equation of the circle circumscribing the triangle formed by the lines $x+y=0,2x+y=4$ and $x+2y=5$

1. $x^2+y^2+17x-11y+30=0$

2. $x^2+y^2+17x+19y+50=0$

3. $x^2+y^2-17x-19y+50=0$

4. $x^2+y^2-17x-11y+30=0$