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Mathematics
Mathematics
Problem
A variable line cuts
X
X
X
-axis at
A
A
A
,
Y
Y
Y
-axis at
B
B
B
, where
O
A
=
a
OA = a
O
A
=
a
,
O
B
=
b
OB = b
O
B
=
b
(
O
O
O
as origin) such that
a
2
+
b
2
=
1
a^2 + b^2 = 1
a
2
+
b
2
=
1
. Find the locus of (i) centroid of
Δ
O
A
B
\Delta OAB
Δ
O
A
B
(ii) circumcentre of
Δ
O
A
B
\Delta OAB
Δ
O
A
B
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