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Question

The x-coordinate of the incentre of the triangle that has the coordinates of mid-points of its sides as (0,1), (1, 1) and (1, 0) is

A
2+2
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B
22
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C
1+2
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D
12
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Solution

The correct option is B 22
Given mid-points of a triangle are (0, 1), (1, 1) and (1, 0). Plot these points on a graph paper and make a triangle.
So, the sides of a triangle will be 2, 2 and 22+22 i.e.
22.

xcoordinate of incentre=2×0+22.0+2.22+2+22 (general formula for incentre)
=22+2×2222=22




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