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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+3x-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)/(sqrt2)`

B

`(1)/(4 sqrt2)`

C

`(1)/(3sqrt2)`

D

`(1)/(2sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
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  2. The length of the projection of the line segment joining the points (5...

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  5. A plane bisects the line segment joining the points (1,2,3) and (-3,4,...

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  6. An angle between the lines whose direction cosines are given by the eq...

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  7. If the angle between the lines, x/2=y/2=z/1 and (5-x)/(-2) = (7y-14)/(...

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  8. The sum of the intercepts on the coordinate axes of the plane passing ...

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

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

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  13. If a variable plane, at a distance of 3 units from the origin, interse...

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  14. If x =a, y=b, z=c is a solution of the system of linear equations x + ...

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  15. If the line, (x-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane...

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

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  17. If the line, (x-3)/(2)=(y+2)/(-1)=(z+4)/(3) lies in the plane, lx+my-n...

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  18. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

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  19. The distance of the point (1,-2,4) from the plane passing through the ...

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