The four sides of a quadrilateral are given by the equation `xy(x-2)(y - 3)=0` The equation of the line parallel to `x-4y=0` that divides the quadrilateral in two equal areas is

Four sides of a quadrilateral are given by the equation xy(x-2)(y-3)=0 , then the equation of the line parallel to x-4y=0 that divides the quadrilateral into two equal parts is

The coordinates of the four vertices of a quadrilateral are (-2,4), (-1,2) and (2,4) taken in order. The equation of the line passing through the vertex (-1,2) and dividing the quadrilateral in the equal areas is

The coordinates of the vertices of a quadrilateral are A(0, 0); B(16,0), C(8,8), D(0,8). Find the equation of the line parallel to AC that halves the area of the quadrilateral in the form of y = mx + c.

Area of the quadrilateral formed by the lines |x|+|y|=2is

Two lines given by equation x^(2)+xy+y^(2)=0 are

Two equal sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0. The slope of the third side is