The orthocenter of the triangle formed by the lines `xy=0 and x+y=1` is

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

Area of the triangle formed by the lines y^2-9xy+18x^2=0 and y=9 is

If the otrhocentre of the triangle formed by the lines 2x + 3y -1 = 0, x +2y -1=0, ax + by -1=0 is at the origin then (a,b) is given by.

The locus of the orthocentre of the triangle formed by the lines : (1 + p)x - py + p(1+ p) = 0, (1 + q)x- qy + q(1+ q) = 0, and y = 0 , where p ne q , 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 area of the triangle formed by the lines y-x=0, x+y=0 and x-k=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.

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.