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Mathematics
Mathematics
Problem
A variable plane at a distance of 1 unit from the origin cuts the axes at
A
,
B
A, B
A
,
B
and
C
C
C
. If the centroid
D
(
x
,
y
,
z
)
D(x, y, z)
D
(
x
,
y
,
z
)
of
Δ
A
B
C
\Delta ABC
Δ
A
B
C
satisfies the relation
1
x
2
+
1
y
2
+
1
z
2
=
K
\frac{1}{x^2} + \frac{1}{y^2} + \frac{1}{z^2} = K
x
2
1
+
y
2
1
+
z
2
1
=
K
, then the value of
K
K
K
is a. 3 b. 1 c.
1
3
\frac{1}{3}
3
1
d. 9
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