Find the incenter of the triangle formed by the straight lines `y=sqrt(3)x,y=-sqrt(3)x` and `y=3`

The incentre of the triangle formed by the lines y=sqrt(3)x,y=-sqrt(3)x and y=3 is

The triangle formed by the lines sqrt(3)x+y-2=0,sqrt(3)x-y+1=0,y=0

The equation of the circumcircle of the triangle formed by the lines y+sqrt(3)x=6,y-sqrt(3)x=6 and y=0, is-

The equation of the circumcircle of the triangle formed by the lines y + sqrt(3)x = 6, y - sqrt(3) x = 6 and y = 0 , is-