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Questions  

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

a
(1,3/2)
b
(2/3,1/3)
c
(2/3,3/2)
d
(1,1/3)

detailed solution

Correct option is D

Let the vertices of the triangle be A(1,3), B (0, 0) and C (2, 0). We observe thatAB=2=BC=ACSo, the triangle is equilateral. Consequently, its incentre coincides with the centroid whose coordinates are.1+0+23,3+0+03=1,13

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