question_answer

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

A) third

B) second

C) first      

D) fourth

Correct Answer: B

Solution :

\[\frac{k-3}{h-4}=0\]                  \[k=3\]

\[\frac{k}{h}=-\frac{4-0}{3-2}\]              \[-4h=k\]

\[h=\frac{-3}{4}.\]