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)

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