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.

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

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

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

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

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

The equation of the medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

A triangle is formed by the lines whose combined equation is given by (x-y-4)(xy-2x-y+2)=0 The equation of its circumcircle is:

The equation of the circumcircle of the triangle formed by the lines x=0, y=0, 2x+3y=5, is