Q.

A straight road of length 9 units sides with its ends A, B always on the X and Y-axis respectively. then the locus of the centroid of ΔOAB is

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a

x2+y2=3

b

x2+y2=9

c

x2+y2=1

d

x2+y2=81

answer is B.

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Detailed Solution

Let end A is (a,0)  and end B is (0,b) then a2+b2=81 If centroid is (x,y)  then x=a3,y=b3 ,putting in (1) we get the locus as x2+y2=9
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A straight road of length 9 units sides with its ends A, B always on the X and Y-axis respectively. then the locus of the centroid of ΔOAB is