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If the cartesian equation of the line (2...

If the cartesian equation of the line `(2-x)/(4)=(y-3)/(-2),z+4=0` then its vector equation is ….....

A

`barr=(4,-2,0)+k(2,3,-4),k epsilon R`

B

`barr=(2,3,-4)+k(4,2,0),k epsilon R`

C

`barr=(-2,3,-4)+k(4,-2,0),k epsilon R`

D

`barr=(2,3,-4)+k(-4,-2,1),k epsilon R`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The cartesian equation of the line passing through (4, 9, 8) and (3, -...

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  2. If the vector equation of the line is barr= (1, -5,9) + k(2, 2, -1), k...

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  3. If the cartesian equation of the line (2-x)/(4)=(y-3)/(-2),z+4=0 then ...

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  4. The angle between the lines barr = (4, -3, 2) + k(2, 1, 2), k epsilon ...

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  5. The equation of line perpendicular to barr. (1, 2, 1) = 4 and passing ...

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  6. The symmetric equation of the line passing through (3, 1, - 1) and (3,...

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

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  8. If the lines (x-2)/(k)=(y-8)/(-3)=(z+5)/(9) and (x-5)/(1)=(y+2)/(1)=(z...

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  9. If the lines (x-1)/(1)=(y-4)/(c)=(z+3)/(-3) and (x+1)/(-c)=(y-3)/(2)=(...

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  10. The vector form of the line 3x + 1 = 62 – 2, y - 1 = 0 is .........

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

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

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

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

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

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

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

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

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

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

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