Question

Find the orthocentre of the triangle whose vertices are $(0,0)$, $(3,0)$ and $(0,2)$.

• A. $(0,0)$
• B. $(\frac{3}{2},1)$
• C. $(0,2)$
• D. none of these

Answer 1

Answer: (A)

$(0,0)$

The orthocentre of a triangle is the point of the intersection of the perpendiculars drawn from the vertices to the opposite sides.

Since the the triangle formed by $(0,0)$ , $(3,0)$ and $(0,2)$ is a right-angled triangle so $(0,0)$ is the point of intersection of the perpendicular drawn from the vertices to the opposite sides.

So $(0,0)$ is the orthocentre.