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

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(1,3/2)

(2/3,1/3)

(2/3,3/2)

(1,1/3)

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detailed solution

Correct option is D

The triangle is equilateral, so the incentre is the centroid(1,1/3) of the triangle.

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The incentre of the triangle with vertices (1, 3) ,(0, 0) and (2, 0) is

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