Question

Write the coordinates of the orthocentre of the triangle formed by the lines xy=0 and x+y=1.

Answer 1

Lines of triangle are xy=0 and x+y=1

$\therefore x=0,y=0,x+y=1$

In this case,

Point of intersection of altitudes from

vertices if O(0,0)

Orthocentre=(0,0)