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If the projection of a line segment on X...

If the projection of a line segment on X,Y and Z-axes are `3,1` and `sqrt(15)` respectIvely, then length of line segment is

A

`5`

B

`4+sqrt(15)`

C

`5+sqrt2`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
A
Let the l,m,n be DC's of the given line segment r,so projection on x,y,z and (lr,mr,nr)
Now `l^2r^2+m^2r^2+n^2r^2=3^2+1^2+(sqrt(15))^2`
`rArr" "r^2=25`
`rArr" "r=5`
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