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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 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
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 = 12h+3k=9Putting x as h and y as k,2x+3y=9 Hope it helps RegardsArun (askIITians forum expert)
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