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The direction rations of the diagonals o...

The direction rations of the diagonals of a cube which joins the origin to the opposite corner are (when the three concurrent edges of the cube are coordinate axes)

A

`(2/sqrt2,2/sqrt3,2/sqrt3)`

B

(1,1,1)

C

(2,-2,1)

D

(1,2,3)

Text Solution

Verified by Experts

The correct Answer is:
B
Let the length of side of cube be a
Then, coordinates of conner P opposite to origin are (a,a,a)
`therefore` Direction ratios of diagonal OP are a -0, a-0, a-0 i..e.,a,a,i.,1,1.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-THREE DIMENSIONAL GEOMETRY-Exercise 2 (MISCELLANEOUS PROBLEMS)
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  13. The angle between the lines whose direction cosines are (sqrt3/4,1/4,s...

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  14. Let O be the origin and P be the point at a distance 3 units from orig...

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  18. If P(p), Q(q), R(r) and S(s) be four points such that 3p+8q=6r+5s then...

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  19. The direction cosines of line joining (1,-1,1) and (-1,1,1) are

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