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Q.

If P,Q,R are the images of A6,3,2 with respect to the x-,y-,z- axes respectively, then the distance of the centroid of the triangle PQR from the origin is

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a

73

b

7

c

21

d

7

answer is A.

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Detailed Solution

The image of A(x1,y1,z1) with respect to x-axis is x1,-y1,-z1 The image of A(x1,y1,z1) with respect to y-axis is -x1,y1,-z1The image of A(x1,y1,z1) with respect to z-axis is -x1,-y1,z1The vertices are P6,-3,-2,Q-6,3,-2,R-6,-3,2The centroid of the triangle PQR is -2,-1,23The distance from origin to the point -2,-1,23 is 4+1+49=73
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