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If L1 is the line of intersection of the...

If `L_1` is the line of intersection of the planes `2x-2y+3z-2=0`, `x-y+z+1=0` and `L_2` is the line of the intersection of the planes `x+2y-z-3=0` , `3x-y+2z-1=0` then the distance of the origin from the plane containing the lines `L_1` and `L_2` is

A

`(1)/(4 sqrt(2))`

B

`(1)/(3 sqrt(2))`

C

`(1)/(2 sqrt(2))`

D

`-(1)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -COMPETITION FILE
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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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  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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