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If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesured parallel to the line, `(x)/(1)=(y)/(4)=(z)/(5)` is Q, then PQ is equal to

A

`sqrt(42)`

B

`6 sqrt(5)`

C

`3 sqrt(5)`

D

`2 sqrt(42)`

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -COMPETITION FILE
  1. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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

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

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

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

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  6. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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

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  8. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3...

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  9. The angle between the lines whose direction cosines satisfy the equa...

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  10. The disatance of the point (1, 0, 2) from the point of intersection of...

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  11. The equation of the plane containing the line 2x -5y + z= 3, x + y + 4...

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  12. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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

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  14. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesure...

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  15. The distance of the point (1, 3, -7) from the plane passing through th...

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  16. If L1 is the line of intersection of the planes 2x-2y+3z-2=0, x-y+z+1=...

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  17. The perpendicular distance from the origin to the plane containing the...

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  18. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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  19. A plane passes through the point (0,-1,0) and (0,0,1) and makes an ang...

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  20. Consider a plane x+2y+3z=15 and a line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) t...

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