Find the equation of the circle circumscribing the triangle formed by the lines x +y = 2, 3x - 4y = 6, x - y = 0

Find the equation of the circle circumscribing the quadrilateral formed by the straight lines : x-y = 0, 3x + 2y = 5, x - y = 10 and 2x + 3y = 0 .

Find the equations of the bisectors of the angles formed by the lines : 3x- 4y + 12 = 0 and 4x + 3y + 2=0.

Find the area of the triangle formed by the lines y-x = 0, x + y = 0 and x-k = 0.

Find the equation of the circle passing through the vertices of the triangle whose sides are : x+y =2, 3x-4y =6 and x-y=0.

Find the co-ordinates of the incentre of the triangle formed by the lines y -15 = 0, 12y - 5x =0 and 4y + 3x =0 .

Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k=0.

Using intergration, find the area bounded by the lines : 2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .

Find the equations of the bisectors of the angles formed by the following pairs of lines : 3x+4y+13=0 = and 12x- 5y + 32=0.

Orthocentre of the triangle formed by the lines xy-3x-5y+15=0 and 3x+5y=15 is