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Mathematics
Mathematics
Problem
B and C are fixed points having co-ordinates (3, 0) and (-3, 0) respectively. If the vertical angle BAC is
90
∘
90^\circ
9
0
∘
, then the locus of the centroid of the
Δ
A
B
C
\Delta ABC
Δ
A
B
C
has the equation - (A)
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
(B)
x
2
+
y
2
=
2
x^2 + y^2 = 2
x
2
+
y
2
=
2
(C)
9
(
x
2
+
y
2
)
=
1
9(x^2 + y^2) = 1
9
(
x
2
+
y
2
)
=
1
(D)
9
(
x
2
+
y
2
)
=
4
9(x^2 + y^2) = 4
9
(
x
2
+
y
2
)
=
4
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