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The direction cosines of the line joinin...

The direction cosines of the line joining the points (1,2,-3) and (-2,3,1) are

A

`-3,1,4`

B

`-1,5,-2`

C

`(-3)/(sqrt(26)),(1)/(sqrt(26)),(4)/(sqrt(26))`

D

`(-1)/(sqrt(30)),(5)/(sqrt(30)),(-2)/(sqrt(30))`

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. The coordinates of a point which divide the line joining the points P(...

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  2. If a line OP through the origin O makes angles alpha,45^(@)and60^(@) w...

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  3. The direction cosines of the line joining the points (1,2,-3) and (-2,...

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  4. The equation of Z - axis , are…………..

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  5. Find the ratio in which the y-z plane divides the join of the po...

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  6. What are corrdinates of the point equidistant from the points (a,0,0),...

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  7. If O be the origin and OP=r and OP makes an angle theta with the posit...

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  8. If a straight line in space is equally inclined to the co-rodinate axe...

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  9. A line makes an angle of 60^(@) with each of x and y axis, the angle w...

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  10. The projections of a line segment on x, y and z axes are respectively ...

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  11. If P(x,y,z) is a point in space at a distance r from the origin O, the...

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  12. Let N be the foot of the perpendicular of length p from the origin to ...

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  13. The equation of plane passing throught the point (1 ,2 ,3) and the di...

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  14. If a plane meets the co-ordinate axes in A, B, C such that the centroi...

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  15. Algebraic sum of the intercepts made by the plane x+3y-4z+6=0 on the a...

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  16. An equation of the plane passing through the origin and containing the...

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  17. An equation of the plane passing through the point (1,-1,2) and parall...

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  18. The vector form of the equation of the line 6x - 2 = 3y + 1 = 2z - 2 ...

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  19. Find the vector of a line passing through (2,-1,1) and parallel to the...

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  20. If M denotes the md point of the line segment joining A(4hati+6hatj-10...

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