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let P be the plane, which contains the l...

let P be the plane, which contains the line of intersection of the planes `x+y+z-6=0` and `2x+3y+z+5=0` and it is perpendicular to the xy-plane thent he distance of the point (0,0,256) from P is equal to

A

`63sqrt5`

B

`205sqrt5`

C

`(11)/(sqrt5)`

D

`(17)/(sqrt5)`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. If the plane 2x-y+2z+3=0 has the distances (1)/(3) and (2)/(3) units f...

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  2. If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...

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  3. let P be the plane, which contains the line of intersection of the pla...

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  4. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

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  5. If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...

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  6. Find the vector equation of the plane through the line of intersection...

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  7. The length of the perpendicular from the point (2, -1, 4) on the strai...

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  8. The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...

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  9. The equation of a plane containing the line of intersection of the pla...

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  10. about to only mathematics

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  11. A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...

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

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  13. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

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  14. If the point (2 , alpha , beta) lies on the plane which passes throug...

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  15. The plane containing the line (x-3)/2=(y+2)/(-1) =(z-1)/3 and also ...

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  16. The direction ratios of normal of a plane passing through two points (...

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  17. The plane which bisects the line segment joining the points (-3, -3, 4...

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  18. On which of the following lines lies the point of intersection of the ...

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  19. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

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  20. Let A be a point on the line vecr=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk a...

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