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The equation of line passing through the...

The equation of line passing through the origin and the direction cosines `(2pi)/(3),(pi)/(4),(pi)/(3)` is ….......

A

`x=(y)/(-sqrt2)=z`

B

`(x)/(-1)=(y)/(-sqrt2)=z`

C

`x=(y)/(-sqrt2)=-z`

D

`x=(y)/(sqrt2)=z`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The equation of line passing through the origin and the direction cosi...

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  2. The direction cosines of the line passing through (3, 4, 5) and (4, 5,...

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  3. The lines x/2=y/1=z/3 and (x-2)/(2)=(y+1)/(1)=(3-z)/(-3) are ….

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  4. The equation of a line passing through origin and parallel to Y-axis i...

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  5. The equation of the line L passing through A(-2, 2, 3) and perpendicul...

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  6. If the lines barr = (2, -3, 7) + k(2, a, 5), k epsilon R and barr = (...

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  7. The lines (x-7)/(k)=(y-3)/(1)=(z-4)/(1) and (x-8)/(1)=(y-2)/(1)=(3-z)/...

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

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

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

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

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

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

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

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

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

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

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

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

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

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