First slide

Cartesian plane

Question

The orthocentre of the triangle formed by the lines $x = 2, y = 3$ and $3 x + 2 y = 6$ is at the point

Moderate

A

$(2, 0)$
B

$(0, 3)$
C

$(2, 3)$
D

none of these

Solution

We know that the orthocentre of a right triangle is at the vertex forming right angle. Here, $x = 2$ and $y = 3$ are perpendicular sides of the given triangle. So, their point of intersection i.e. $(2, 3)$ is the orthocentre.

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