Question

The incentre of the triangle with vertices (1, $\sqrt{3}$), (0, 0) and (2, 0) is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Clearly, the triangle is equilateral.

So, the incentre is the same as the centroid.

$\therefore$ Incentre = $(\frac{1+0+2}{3},\frac{\sqrt{3}+0+0}{3})$ = $(1,\frac{1}{\sqrt{3}})$.