Determine whether the origin lies inside or outside the triangle whose sides are given by the equations `7x-5y-11=0, 8x+3y+31=0, x+8y-19=0`.

determine whether the point (-3, 2) lies inside or outside the triangle whose sides are given by the equations x+y−4=0,3x−7y+8=0,4x−y−31=0

Find the coordinates of the incentre and centroid of the triangle whose sides have the equations 3x-4y=0,5 x+12y=0 and y-15=0.

The centroid of the triangle whose three sides are given by the combined equation (x^(2)+7xy+2y^(2))(y-1)=0 , is

Find the vertices of the triangle whose sides are y+2x=3, 4y+x=5 and 5y+3x=0

Find the area of the triangle whose sides are: 3x-2y+1=0, 3x+y+4=0 and 3x-5y+34=0

Find the circumcentre of the triangle whose sides are 3 x-y+3 =0,3x +4y +3=0 and x+3y+11=0 .

Coordinates of the orthocentre of the triangle whose sides are 3x -2y = 6, 3x + 4y + 12 = 0 and 3x-8y+12=0 is

Find the values of the parameter a so that the point (a, 2) is an interior point of the triangle formed by the lines x+y-4=0, 3x-7y-8=0and 4x-y-31 = 0.

Find the equation of a circle circumscribing the triangle whose sides are 2x+y-3=0, 3x-y-7=0 and x-2y+1=0.

Determine the angle between the lines whose equation are 3x+y-7=0 and x+2y+9=0 ,