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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

```
3 years ago

Ritesh Khatri
76 Points
```							Let x coordinate of A be t then Y coordinate will be 12 – 2tLet centroid G be (h,k)h = (4 + 0 + t)/3which means t = 3h – 4k = (0 + 3 + 12 – 2t)/3substitute value of t3k =  15 – 2(3h-4)3k = 23 – 6h3y = 23 – 6xwhich is required locus
```
3 years ago
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