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Which of the triplet can not represent d...

Which of the triplet can not represent direction cosines of a line ?

A

`(1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))`

B

`(3)/(sqrt(50)),(4)/(sqrt(50)),(4)/(sqrt(50))`

C

`(4)/(sqrt(77)),(5)/(sqrt(77)),(6)/(sqrt(77))`

D

`(2)/(sqrt(25)),(3)/(sqrt(25)),(4)/(sqrt(25))`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-THREE DIMENSIONAL GEOMETRY -Critical Thinking
  1. If alpha,beta,gamma are direction angles of a line, then

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  2. Which of the triplet can not represent direction cosines of a line ?

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  3. The valid direction angle triple of a line L is

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  4. If alpha,beta, gamma are the direction angles of a vector and cos alph...

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  5. A straight line which makes an angle of 60^@ with each of Y and Z-axis...

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  6. The direction consines of a line which lies in XZ-plane and making an ...

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  7. If a line makes angles of 30^(@) and 45^(@) with X-axis and Y-axis res...

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  8. Find the direction cosines of a vector vecr which is equally inclined ...

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  9. The sum of the direction cosines of a line which makes equal angles wi...

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  10. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

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  11. If a line makes angles alpha , beta ,gamma with coordinate axes , th...

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  12. Show that no line in space can make angles (pi)/(6) and (pi)/(4) with ...

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  13. A line line makes the same angle theta with each of the x and z-axes....

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  14. The projections of a line on the co-ordinate axes are 4,6,12. The dire...

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  15. If P(x,y,z) is a point in space at a distance r from the origin O, the...

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  16. A line AB is inclined to OX at 45^(@) and to OY at 60^(@) and let P be...

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  17. The vector of magnitude 6 which is equally inclined to the co-ordinate...

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  18. If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then fin...

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  19. Line with direction ratios 1, 1, 1 is

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  20. The angle made by the vector 3hati-4hatj+5hatk with the Z-axis is

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