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Question

G(1,1,2) is the centroid of the triangle ABC and D is the mid point of BC. If A=(1,1,4), then D=

A
(12,1,52)
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B
(5,1,2)
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C
(5,1,2)
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D
(2,1,1)
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Solution

The correct option is B (2,1,1)
Let the coordinates of D be (p,q,r).
Since, the centroid divides the line joining AD in the ratio 2:1, the coordinates of centroid should be,
(2p13,2q+13,2r43)
Comparing it with the coordinates of the centroid given, D(2,1,1).

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