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Question

If the vertices of a triangle be (a,bc), (c,b,0) and (b,0,c), then the centroid of the triangle lies

A
at origin
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B
on x-axis
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C
on y-axis
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D
None of these
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Solution

The correct option is B on x-axis
Given the vertices of a triangle be (a,bc), (c,b,0) and (b,0,c).

Then the centroid of the triangle will be, (a+c+b3,bb+03,c+0+c3)=(a+c+b3,0,0).

Clearly the point lies on the x axis.

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