What is the orthocentre of the triangle forme | vedclass

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(C) The equation $xy = 0$ represents two lines: $x = 0$ (the $y$-axis) and $y = 0$ (the $x$-axis).The third line is $x + y = 1$.The vertices of the tr

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$(0, 0)$

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(C) The equation $xy = 0$ represents two lines: $x = 0$ (the $y$-axis) and $y = 0$ (the $x$-axis).The third line is $x + y = 1$.The vertices of the triangle are the intersection points of these lines:$1$. Intersection of $x = 0$ and $y = 0$ is $(0, 0)$.$2$. Intersection of $x = 0$ and $x + y = 1$ is $(0, 1)$.$3$. Intersection of $y = 0$ and $x + y = 1$ is $(1, 0)$.Since the lines $x = 0$ and $y = 0$ are perpendicular,the triangle is a right-angled triangle with the right angle at the origin $(0, 0)$.In a right-angled triangle,the orthocentre is the vertex where the right angle is located.Therefore,the orthocentre is $(0, 0)$.

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

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