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Problem
[2019] A straight rod of length 9 units slides with its ends A, B always on the X and Y-axis respectively. Then the locus of the centroid of
Δ
O
A
B
\Delta OAB
Δ
O
A
B
is : [2020] (a)
x
2
+
y
2
=
3
x^2 + y^2 = 3
x
2
+
y
2
=
3
(b)
x
2
+
y
2
=
9
x^2 + y^2 = 9
x
2
+
y
2
=
9
(c)
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
(d)
x
2
+
y
2
=
81
x^2 + y^2 = 81
x
2
+
y
2
=
81
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