First slide

Pair of straight lines

Question

The orthocentre of the triangle formed by the lines $x y = 0$ and $2 x + 3 y - 5 = 0$ is

Moderate

A

$(2, 3)$
B

$(3, 2)$
C

$(0, 0)$
D

$(5, - 5)$

Solution

The given triangle is right angled at $(0, 0)$
which is therefore the orthocentre of the triangle.

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