Question

Orthocentre of the triangle formed by the lines $x+y=1$ and $xy=0$ is

• A. $(0,0)$
• B. $(0,1)$
• C. $(1,0)$
• D. $(-1,+1)$

Answer 1

Answer: (A)

$(0,0)$

Given $x+y=1$, $xy=0$
If $x=0,y=1$
If $x=1$ and $y=0$
$\therefore (0,1)$ and $(1,0)$ are the vertices of the triangle. Clearly triangle is right angled isosceles. Orthocentre of right angled triangle is same as the vertex of right angle. Thus, the point of intersection of $x+y=1$ and $xy=0$ is $(0,0)$