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A line makes the angle alpha, beta , gam...

A line makes the angle `alpha, beta , gamma and delta` with the diagonals of a cube. The `cos^2 alpha + cos^2 beta + cos^2 gamma + cos^2 delta =.............`

A

`4/3`

B

`2/3`

C

`3`

D

`1/3`

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The correct Answer is:
A
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The angle between the two diagonals of a cube is .....

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  2. The angle between the two diagonals of a cube is .....

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  3. A line makes the angle alpha, beta , gamma and delta with the diagonal...

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  4. The edge of a cube is of length of a. The shortest distance between th...

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  5. The projection of a line on the axes are 9,12, and 8. The length of th...

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  6. The straight lines whose direciton cosines are given by al + bm + cn =...

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  7. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  8. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  9. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

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  10. The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) =...

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  11. The equation of motion of a point in space is x = 2t, y = -4 t, z=4t ...

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  12. The distance of the point P (4,3,5) from Y-axis is lambda then 5lambda...

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  13. A line makes an angle of measure alpha with X-axis and Y-axis cot alph...

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  14. The angle between the lines (x+1)/(2) + (y+3)/(2) = (z-4)/(-1) and (x-...

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  15. If the foot of perpendicular drawn from the point (a,b,c) and the line...

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  16. The distance between the lines x = 1 - 4t,y=2+ t, z= 3 + 2t and x=1 +S...

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  17. The distance ratio of two lines are (5,-12,13) and (-3,4,5) . Then the...

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  18. If cos alpha, cos beta, gamma are direciton cosines then cos 2 alpha +...

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  19. A line makes an angle alpha,beta and gamma with axes repectively, The ...

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  20. The angle between the lines 2x = 3y = -z and 6x = -y = -4x is ...........

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