Question

Two vertices of a triangle are $(0,2)$ and $(4,3)$ . If its orthocentre is at the origin, then its third vertex lies in which quadrant ?

• A. Fourth
• B. Second
• C. Third
• D. First

Answer 1

Answer: (B)

Second

Answer 2

$m _{ BD } \times m _{ AD }=-1$
$\Rightarrow\left(\frac{3-2}{4-0}\right) \times\left(\frac{ b -0}{ a -0}\right)=-1$