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The coordinates of the point P=(3,4,5), ...

The coordinates of the point P=(3,4,5), then the direction cosines of `vec OP are

A

3,4,5

B

1/3,1/4,1/5

C

3/50,4/50,1/10

D

`3/(5sqrt2), 4/(5sqrt2),1/sqrt2`

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The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If a line lies in the octant O X Y Z and it makes equal angles with th...

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  2. The direction cosines of the line joining (4,3,-5) and (-2,1,-8) are

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  3. The coordinates of the point P=(3,4,5), then the direction cosines of ...

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  4. A vector vec ris inclined at equal angles to O X, OY and OZ. If the ma...

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  5. The direction cosines of a normal to the yz-plane are

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  6. If (1/3,1/4,k) are the direction cosines of a line then the value of k...

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  7. The direction ratios of vec PQ are 1,2,2 and P(2,-1,4). If |vec PQ| = ...

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  8. If the direction cosines of two lines are proportional to 2,3,-6 and 3...

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  9. A line making anlges 45^(@) and 60^(@) with the positive direction o...

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  10. The distance of the point (4,3,5) from the y-axis is

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  11. The distance of the point A(2,3,4) from z-axis is

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  12. Coordinates of the foot of the perpendicular from the point (3,4,7) on...

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  13. If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value o...

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  14. The points A (4,5,1), B (0,-1,-1), C(3,9,4) and D(-4,4,4) are

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  15. The direction cosines l, m, n of two lines are connected by the relati...

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  16. The ratio in which the line joining points (2, 4, 5), (3,5,- 4) is div...

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  17. The projection of a line segment on x, y, z axes are respectively sqrt...

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  18. If the projection of a line segment PQ on the coordinate axes are 3,4,...

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  19. If the projection a of a line segment PQ on the coordinate as are 2,3,...

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  20. The projection of the line segment joining P(2,-1,0) and Q(3,-2,1) on ...

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