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If points (1,2,3), (0,-4,3), (2,3,5) and...

If points (1,2,3), (0,-4,3), (2,3,5) and (1,-5,-3) are vertices of tetrahedron, then the point where lines joining the mid-points of opposite edges of concurrent is

A

`(1,-1,2)`

B

`(-1,1,2)`

C

(1,1,-2)

D

`(-1,1,-2)`

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Verified by Experts

The correct Answer is:
A

We know that line joining the mid-points of opposite edges of tetrahedron are concurrent at point, which is the mean of vertices of tetrahedron. Here it is `(1,-1,2)`
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CENGAGE-VECTORS; DEFINITION, GEOMETRY RELATED TO VECTORS-DPP 1.1
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