Question

If the equations of the sides of a triangle are $x+y=2,y=x$ and $\sqrt{3}y+x=0$, then which of the following is an exterior point of the triangle?

• A. orthocenter
• B. incenter
• C. centroid
• D. none of these

Answer 1

Answer: (A)

orthocenter

The given lines can be drawn as shown :

Here, two lines are ${\perp }^{rt}$ too each other snd to form a right angled triangle.

$\therefore$ Orthocenter lies on the point B (lies on right handed vertex in a right handed triangle.)