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A line passes through the point (3, 1,2)...

A line passes through the point `(3, 1,2)` and `(5,-1,1)`, find the direction cosines of the line.

A

`pm(2)/(9), pm (-2)/(9), pm (-1)/(9)`

B

`pm(2)/(9), pm (2)/(9), pm (-1)/(9)`

C

`pm (2)/(3), pm (-2)/(3), pm (-1)/(3)`

D

`pm (2)/(3), pm (2)/(3), pm (-1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If A(-1, 2, -3), B(5, 0, -6) and C(0, 4, -1) are the vertices of tria...

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  2. A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the ...

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  3. A line passes through the point (3, 1,2) and (5,-1,1), find the direct...

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  4. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  5. Direction cosines of the line passing through the points A(-4, 2, 3) a...

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  6. If a line has the direction ratios 4, -12, 18, then its direction cos...

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  7. If a line has the direction ratios -1, 2, 3, then its direction cosin...

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  8. The direction cosines of a line whose direction ratios are 1, -2, 3 ar...

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  9. If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, th...

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  10. If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...

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  11. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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  12. If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...

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  13. The number of lines which are equally inclined to the axes is :

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  14. The direction ratios of AB are -2,2,1. If A -= (4,1,5) and l(AB) = 6 u...

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  15. If the direction cosines of bar(AB) are (-2)/(sqrt(17)), (3)/(sqrt(17)...

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  16. If OP = 21 and direction cosines of bar(OP) are (2)/(7),(6)/(7), (-3)...

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  17. The ratio in which the line joining points (2, 4, 5) and (3, 5, -4) di...

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  18. XY-plane divides the line joining the points (2, 4, 5) and (-4, 3, -...

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  19. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  20. उस बिंदु के निर्देशांक ज्ञात कीजिए जहाँ बिंदुओं A(3, 4, 1 ) और B(...

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