Write the coordinates of the orthocentre of the triangle formed by the lines `x y=0\ a n d\ x+y=1.`

Explanation

Three sides of the traingle are-

`x=0`

`y=0`

`x+y=1`

Therefore the vertices of the triangle are `(0,0)`,`(1,0)` and `(0,1)`

Hence the triangle is a right angled triangle
whose vertex is at origin.

Hence the orthocentre of the triangle is at the origin
,i.e., `(0,0)`.