Show that a cyclic quadrilateral is formed by the lines `5x+3y=9,x=3y ,2x=y` and `x+4y+2=0` taken in order. Find the equation of the circumcircle.

Show that the quadrilateral formed by the straight lines x-y=0,3x+2y=5,x-y=10 and 2x+3y=0 is cyclic and hence find the equation of the circle.

The circumcircle of the quadrilateral formed by the lines x=a,x=2a,y=-a,y=a is

Find the area of the quadrilateral formed by the lines y=2x+3 , y=0, x=4, x=6 .

The quadrilateral formed by the pair of lines xy+x+y+1=0 , xy+3x+3y+9=0 is

Area of quadrilateral formed by straight lines 2x =- 5 , 2y = 3 , x=1 and y + 2 = 0 is

Determine the nature of the quadrilateral formed by four lines 3x+4y-5=0,4x-3y-5=0;3x+4y-5=0 and 4x-3y+5=0 Find the equation of the circle insc quadrilateral inscribed and circumscribing this quadrilateral.

Find the area of triangle formed by the lines: x+y-6=0,x-3y-2=0 and 5x-3y+2=0

The quadrilateral formed by the lines 2x-5y+7=0,5x+2y-1=0,2x-5y+2=0,5x+2y+3=0 is

Find the area of the quadrilateral formed by the lines y=2x+3, y=0, x=2 and x=4 using integration.

The line 3x+2y=6 will divide the quadrilateral formed by the lines x+y=5,y-2x=8,3y+2x=084y-x=0