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

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

KEAMKEAM 2013Straight Lines

Solution:

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