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If 1/2,1/3,n are direction cosines of a ...

If `1/2,1/3,n` are direction cosines of a line, then the value of `n` is

A

`(7)/(36)`

B

`(7)/(6)`

C

`(sqrt(23))/(36)`

D

`(sqrt(23))/(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
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  2. If the direction cosines of a line are p,-p, (-p)/(2), then p =

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  3. If 1/2,1/3,n are direction cosines of a line, then the value of n is

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  4. If (1)/(sqrt(2)),(1)/(2), n are the direction consines of a line, then...

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

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  6. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  7. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  8. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  9. If A(3, 5, -4), B(-1, 1, 2) and C(-5, -5, -2) are the vertices of Delt...

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  10. Which of the following is true ?

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  11. Which of the following represents direction consines of the line ?

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

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  13. If P-=(3, 4, -12), then the direction cosines of bar(OP) are

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  14. The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...

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  15. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

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  16. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

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  17. The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...

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  18. The line joining the points -2,1,-8)a n d(a ,b ,c) is parallel to t...

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  19. If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...

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  20. The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the...

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