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Find the acute angle between the two str...

Find the acute angle between the two straight lines whose direction cosines are given by `l+m+n=0` and `l^2+m^2-n^2=0`

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. The angle between the lines whose direction cosines satisfy the equ...

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  2. Find the direction cosines of the two lines which are connected by ...

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  3. Find the acute angle between the two straight lines whose direction co...

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  4. The direction cosines l, m and n of two lines are connected by the rel...

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  5. If the direction ratio of two lines are given by 3lm-4ln+mn=0 and l+2m...

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  6. The angle between the lines whose direction cosines l, m, n satisfy t...

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  7. Find the angle between the lines whose direction cosines are given by ...

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  8. Direction ratios of two lines satisfy the relations 2a-b+2c=0 and ab+...

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  9. IF the direction ratios of two vectors are connected by the relations ...

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  10. The angle between diagonal of a cube and diagonal of a face of the c...

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  11. Let l(1),m(1),n(1),l(2),m(2),n(2) and l(3),m(3), n(3) are direction co...

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  12. The direction cosines of a line equally inclined to three mutually per...

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  13. Find the direction cosines of the two lines which are connected by ...

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  14. If l(1), m(1), n(1) and l(2), m(2), n(2) are the direction cosines of ...

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  15. The direction ratios of vector perpendicular to the two lines whose di...

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  16. The direction ratios of a vector perpendicular to the two lines whose ...

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  17. Find the direction cosines of the line which is perpendicular to the l...

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  18. Direction ratios of the line which is perpendicular to the lines with ...

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  19. The direction cosines of the line which is perpendicular to the lines ...

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  20. The direction ratios of a line which is perpendicular to the two line...

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