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In ∆ABC B(4,0),C(0,3),point A moves on the line 2x+y=12 then1.locus of centroid of∆ABCwill be

In ∆ABC B(4,0),C(0,3),point A moves on the line 2x+y=12 then1.locus of centroid of∆ABCwill be

Grade:12th pass

1 Answers

Ritesh Khatri
76 Points
6 years ago
Let x coordinate of A be t then Y coordinate will be 12 – 2t
Let centroid G be (h,k)
h = (4 + 0 + t)/3
which means t = 3h – 4
k = (0 + 3 + 12 – 2t)/3
substitute value of t
3k =  15 – 2(3h-4)
3k = 23 – 6h
3y = 23 – 6x
which is required locus

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