Question

A triangle $ABC$ with vertices $A(-1,0),B(-2,3/4)$ & $C(-3,-7/6)$ has its orthocentre $H$. Then the orthocentre of triangle $BCH$ will be ?

• A. $(-3,2)$
• B. $(1,3)$
• C. $(-1,2)$
• D. $Noneofthese$

Answer 1

The correct option is D $Noneofthese$

Consider the diagram shown below.

By Othercenter property of a triangle

Here, $H$ is the orthocentre of the triangle $ABC$. Therefore, the orthocentre of the triangle $BCH$ will be at vertex $A(-1,0)$.