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```         A variable plane at a distance of 1 unit from the origin cuts the coordinate axis at A,B and C . If the centroid (x,y,z) of triangle ABC satisfy the relation 1/x2 + 1/y2 + 1/z2 = k, then the value of k is
A)3
B)1
C)1/3
D)9```
8 years ago

Ramesh V
70 Points
```										let the plane be x/a + y/b + z/c = 1  with x,y,z intercepts as a, b, c respectively.
given perpendicular distance is 1, so
1/a2 +1/b2 + 1/c2 = 1
centroid is (a/3, b/3, c/3)
so 9/a2 +9/b2 +9/c2 = k   which implies k=9 on comparision
option D
--
regards
Ramesh
```
8 years ago
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