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

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1,32

23,13

23,32

1,13

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Correct option is D

Let A(1, 3), B(0, 0) and C(2, 0) be the verticesof ∆ ABC. Thena=BC=2, b=AC=2 and c=AB=2⇒ AB=BC=CA⇒ △ABC is equilateralHence, the incentre is same as the centroid whose coordinates are1+0+23,3+0+03≡1,13

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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