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Grade: 10 

                        
let A(2,-3) and B(-2,1) be vertices of triangle ABC,if centroid of this triangle moves on the line 2x+3y=1 then the locus of the vertex C is
2 years ago

Answers : (1)

Arun
24737 Points 
							
Dear student
 
 
Let C(h,k)
To find the centroid, (x1 +x2 +x3/3, y1  + y2 +y3/3)
(2-2+h/3, -3+1+k/3)
(h/3, k-2/3)
When we replace these values in equation of centroid,
​2.h/3 + 3. (k-2)/3 = 1
2h+3k=9
Putting x as h and y as k,
2x+3y=9
 
Hope it helps
 
Regards
Arun (askIITians forum expert)
2 years ago
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