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.

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

The co-ordinates of the incentre of the triangle having sides 3x - 4y = 0, 5x + 12y =0 and y-15=0 are:

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

Draw the graphs of the 5x-y=5 and 3x-y=3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.

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

Prove that (-1, 4) is the orthocentre of the triangle formed by the lines whose equations are : x-y+1=0, x-2y + 4=0 and 9x - 3y + 1 =0.

Draw the graphs of the equations x -y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.

Find the centroid, incentre, circumcentre and orthocentre of the triangle whose sides have the equations : 3x- 4y = 0, 12y + 5x =0 and y- 15 =0.