If the vertices xi,yi,i=1,2,3 of the triangle lie on the curve xy=1 and xi satisfies the equation x3−2x2+7x−1=0, then the sum of coordinates of the centroid of the triangles is

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answer is 0003.00.

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Detailed Solution

We have x1+x2+x33=23 Also y1+y2+y3=1x1+1x2+1x3=x1x2+x2x3+x3x1x1x2x3=71=7 ⇒y1+y2+y33=73∴Sum of coordinates =23+73=3

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