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Question

If G is centroid and I is incentre of the triangle formed by line 3x+4y=12 with co-ordinate axis and GI=23λ24(λ>0) then [λ]=
(where [.] is G.I.F)

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Solution


For the above triangle,
Centroid G=(43,1), IncentreI=(1,1)
GI=13
23λ24=13
λ24=14
λ2=174
λ2=4.2
[λ]=2 (as λ>0)

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