Question

The orthocentre of the triangle formed by the lines xy=0
and x+y=1
is [IIT 1995]
A) (0,0) B) \left( \frac{1}{2},\frac{1}{2} \right) C) \left( \frac{1}{3},\frac{1}{3} \right) D) \left( \frac{1}{4},\frac{1}{4} \right)

Answer 1

You must be knowing that orthocentre of a right angle triangle is on the vertex at which right angle is formed
given triangle is right angled triangle
so orthocentre is (0,0) A