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A line from the origin meets the lines `(x-2)/1 = (y-1)/(-2) = (z+1)/1 and (x-8/3)/2 = (y+3)/(-1) = (z-1)/1` at P and Q respectively. If length `PQ = d` then `d^(2)` is equal to

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. If the distance between the plane Ax+2y+z=d and the plane containing t...

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  3. A line from the origin meets the lines (x-2)/1 = (y-1)/(-2) = (z+1)/1 ...

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  4. The direction ratios of a normal to the plane thro' (1,0,0), (0, 1, 0)...

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  5. The plane, which passes through the point (3, 2, 0) and the line (x-3)...

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  6. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular ...

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  7. Two system of rectangular axes have the same origin. If a plane cuts t...

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  8. A line with direction cosines proportional to 2,1,2 meets each of the ...

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  9. If the straight line, x =1 + s, y = 3-lambdas, z = 1+ lambdas and x=t/...

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

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  11. If the angle theta between the (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2...

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  12. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  13. Let L be the line of intersection of the planes: 2x + 3y +z = 1 and ...

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

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

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

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

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

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

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

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