The centroid of the triangle formed by the lines x+3 y=10 and 6 x^2+x y-y^2=0 is

Step-by-step solution

Lines represented by the equation 6 x^2+x y-y^2=0 are y=3 x and y=-2 x The co-ordinates of the vertices of the triangle formed by above lines with x+3 y=10 are (0,0),(1,3) and (-2,4) . Centroid = ( 0+1-2 3 , 0+3+4 3 )= ( -1 3 , 7 3 )