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If the direction cosines of two lines ar...

If the direction cosines of two lines are proportional to 2,3,-6 and 3 ,-4,5, then the acute angle between then

A

`(cos^(-1))(49/36)`

B

`(cos^(-1)) (18sqrt2)/35

C

`90^(o)`

D

`(cos^(-1)) 18/35`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. The direction ratios of vec PQ are 1,2,2 and P(2,-1,4). If |vec PQ| = ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The ratio in which the line joining (3,4,-7) and (4,2,1) is divided by...

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  17. The points (3,4,-3) divides the line joining the points (2,3,-1) and (...

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  18. The area of triangle whose vertices are (1,2,3), (2,5,-1) and (-1,1,2)...

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  19. If alpha, beta, gamma and delta be four angles of a cyclic qardrilater...

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  20. The equation x^(2) + y^(2) + z^(2) = 0 represents

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