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Questions  

The incentre of the triangle having its vertices at O (0, 0), A(5, 0) and B (0, 12) is

a
( 3, 3)
b
( 2, 2)
c
(7, 7)
d
(9, 9)

detailed solution

Correct option is B

Clearly, ∆OAB is a right triangle right-angled at O such that OA= 5, OB=12 and AB= 13.So, the coordinates of incentre are13×0+5×0+12×513+5+12,13×0+5×12+12×013+5+12 i.e. (2,2)

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