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If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) ...

If the lines `(x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1` are coplanar then k can have

A

any value

B

exactly one value

C

exactly two value

D

exactly tree value

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  2. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  3. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  4. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

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  5. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  6. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  7. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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  8. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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  9. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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  10. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  11. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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  12. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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  13. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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  14. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

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

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  16. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

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  17. If a line makes an angle of pi/4 with the positive directions of each ...

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  18. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

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  19. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

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  20. the image of the point (-1,3,4) in the plane x-2y=0

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