Question

The orthocentre of a triangle formed by the lines $x-2y=1,x=0$ and $2x+y-2=0$ is

• A. $(0,1)$
• B. $(1,0)$
• C. $(-1,-2)$
• D. $(1,2)$
• E. $(0,0)$

Answer 1

The correct option is B $(1,0)$

Given equations of lines are
$x-2y=1,x=0$ and $2x+y-2=0$
From figure,
Since, $AB$ is perpendicular to $AC$.
So, orthocentre is the meeting point of $AB$ and $AC$, i.e., $(1,0)$.