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If the direction cosine of a line are < ...

If the direction cosine of a line are < k,k,k >, then,

A

1) `kgt0`

B

2) `0ltklt1`

C

3) `k=1`

D

4) `k=1/sqrt3 or -1/sqrt3`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. If alpha, beta, gamma are the angles that a line makes with the positi...

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  2. The distance of a point P(a,b,c) from x axis is:

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  3. If the direction cosine of a line are < k,k,k >, then,

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  4. The reflection of the point (alpha,beta,gamma) in the xy-plane is:

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  5. Distance between the point (0,1,7) and the plane 3x+4y+1=0 is:

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  6. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

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  7. If a line passes through two points (-2,4,-5) and (1,2,3), then its di...

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  8. The direction cosines of the line whose direction ratios are 6,-2,3 :

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  9. The direction cosines of the line joining the points (-2,1,-8) and (4,...

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  10. The equation of line passing through the point: (2,-1,4) and in the di...

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  11. Find the cartesian equation of the line which passes through the point...

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  12. Find the angle between the following pair of lines : vecr=hati+hatj-ha...

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  13. The direction ratios of a line normal to the plane x+2y-3z+4=0 are

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  14. Find the equation of the plane with interceots 2, 3 and 4 on the x, y ...

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  15. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

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  16. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  17. The point which lies in the plane given by the equations 2x+y-3z=10 is...

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  18. The angle between two planes : 3x-6y+2z=7 and 2x+2y-2z=5 is :

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  19. Direction cosines of the normal to the plane: 2x-3y+4z-6=0 are :

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  20. If a vector makes angles alpha, beta, gamma with x, y and z axes respe...

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