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If the vector equation of the line is ba...

If the vector equation of the line is `barr`= (1, -5,9) + k(2, 2, -1), k `epsilon` R then its cartesian equation is .........

A

`(x+1)/(2)=(y-5)/(2)=(z+9)/(-1)`

B

`(x-2)/(1)=(y-2)/(-5)=(z+1)/(9)`

C

`(1-x)/(-2)=(y+5)/(2)=(9-z)/(1)`

D

`(x-1)/(2)=(y-5)/(2)=(z-9)/(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The lines (x-7)/(k)=(y-3)/(1)=(z-4)/(1) and (x-8)/(1)=(y-2)/(1)=(3-z)/...

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  2. The cartesian equation of the line passing through (4, 9, 8) and (3, -...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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