A variable plane is at a distance, from the origin and meets the coordinate axes in Then, the locus of the centroid of is |
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a) |
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b) |
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c) |
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d) |
A variable plane is at a distance, from the origin and meets the coordinate axes in Then, the locus of the centroid of is |
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a) |
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b) |
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c) |
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d) |
(d)
Let the equation of the variable plane be
This meets the coordinate axes at and
Let be the coordinates of the centroid of Then,
…(i)
The plane is at a distance, from the origin
Hence, the locus of is