Straight LineHard
Question
The incentre of the triangle with vertices (1, √3), (0,0) and (2,0) is
Options
A.

B.

C.

D.

Solution
Let the vertices of triangle be A(1√3), B(0,0) and C (2, 0),
Here, AB = BC = CA = 2
Therefore, it is an equilateral triangle. So the incentre coincides with centroid.
∴
⇒ (1,1/√3)
Here, AB = BC = CA = 2
Therefore, it is an equilateral triangle. So the incentre coincides with centroid.
∴

⇒ (1,1/√3)
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