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The perpendicular distance of the point ...

The perpendicular distance of the point (3, -4, -5) from the line `(x-2)/(4)=(y+6)/(5)=(z-5)/(-3)` is ….....

A

`1/5sqrt(1657)`

B

`(1)/(sqrt5)sqrt(1675)`

C

`1/5sqrt(1757)`

D

`(1)/(sqrt5)sqrt(1667)`

Text Solution

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The correct Answer is:
A
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The vector form of the line 3x + 1 = 62 – 2, y - 1 = 0 is .........

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  2. The lines x=(y-1)/(1)=(z+1)/(3) and {(2,1+3k,2+k)//k epsilon R} are …....

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  3. The perpendicular distance of the point (3, -4, -5) from the line (x-2...

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  4. The image of the point (1, 2, 3) in the line barr = (6, 7, 7) + k (3, ...

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  5. If the line bar r = (5,5,2) + k (3,6,9) k in R and bar = (0,3,-1) + ...

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  6. The angle between the lines bar = (-3,5,-1) + k(1,2,1), k in R and bar...

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  7. The angle between the lines whose direction cosines are given by l + ...

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  8. The cartesian equation of the line passing through (2,2,-3) and (1,3,5...

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  9. The equation of the line passes through (2,-3,5) and makes equal with ...

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  10. The angle between the lines whose direction cosines are l, m, n and m-...

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  11. The vector equation of the line (3-x)/(3) = (2y - 3)/(5) = z/2 is .......

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  12. The lines bar r = (-1,2,5) + k (-1,2,5), k in R and bar r = (-3,1,5) ...

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  13. The vector equation of the line joining the pionts hat(i) - 2hat (j)+ ...

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  14. If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersect...

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  15. The co-ordinats of a point on the line passing through the pionts (1,-...

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  16. The equation of the line passing through hat i + 3 hat j + 2 hat k a...

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  17. The shortest distance of the lines bar r1 = 4 hat i -3 hat j - hat k +...

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  18. The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) i...

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

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

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