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If the straight lines: (x-1)/k=(y-2)/2...

If the straight lines:
`(x-1)/k=(y-2)/2=(z-3)/3` and `(x-2)/3 =(y-3)/k =(z-1)/2` intersect at a point, then the integer k is equal to :

A

2

B

minus 2

C

minus 5

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Let L be the line of intersection of the planes: 2x + 3y +z = 1 and ...

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  2. If the line passing through the point (5,1,a) and (3,b,1) crosses the ...

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  3. If the straight lines: (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3 =(y-3)/k ...

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  4. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x+3y-alpha z+...

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  5. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

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  6. The shortest distance between the lines (x-1)/2 = (y-2)/3 = (z-3)/4 an...

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  7. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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  8. Equation of the line passing through (1,1,1) and parallel to the plane...

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  9. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

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  10. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

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  11. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

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  12. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

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  13. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

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  14. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

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  15. If the direction cosines of a line are 1/c, 1/c, 1/c then,

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  16. The equation of the right bisector plane of the segment joining (2,3,...

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  17. The angle between a line with direction ratio proportional to 2,2,1 an...

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  18. Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...

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  19. Equation of the plane passing through the mid point of the line segmen...

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  20. If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...

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