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The disatance of the point (1, 0, 2) fro...

The disatance of the point `(1, 0, 2)` from the point of intersection of the line `(x-2)/(3)=(y+1)/(4)=(z-2)/(12)` and the plane `x-y+z=16`, is

A

`3sqrt21`

B

`13`

C

`2sqrt14`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
B
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The distance of the point (-1, -5, -10) from the point of intersection of the line (x-2)/(2)=(y+1)/(4)=(z-2)/(12) and the plane x-y+z=5 is

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

Find the distance between the point (-1, -5, -10) and the point of intersection of line (x-2)/(3) = (y+1)/(4) = (z-2)/(12) and plane x-y + z =5

On which of the following lines lies the point of intersection of the line, (x-4)/(2)=(y-5)/(2)=(z-3)/(1) and the plane, x+y+z=2 ?

find that the distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane (x-y+z=5) from the point (-1,-5,-10) is

Column I, Column II Image of the point (3,5,7) in the plane 2x+y+z=-18 is, p. (-1,1,-1) The point of intersection of the line (x-2)/(-3)=(y-1)/(-2)=(z-3)/2 and the plane 2x+y-z=3 is, q. (-21 ,-7,-5) The foot of the perpendicular from the point (1,1,2) to the plane 2x-2y+4z+5=0 is, r. (5/2,2/3,8/3) The intersection point of the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2=z is, s. (-1/(12),(25)/(12),(-2)/(12))

Find the distance of the point P(-1,-5,-10) from the point of intersection of the line joining the points A(2,-1,2)a n dB(5,3,4) with the plane x-y+z=5.

Find the equation of the line passing through the point "P"(4,6,2) and the point of intersection of the line ("x"-1)/3="y"/2=("z"+1)/7 and the plane "x"+"y"-"z"=8.

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

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

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

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  4. Ifthe points (1,1, lambda) and (-3,0,1) are equidistant from the plan...

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  5. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

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  6. Find the equation of a plane which passes through the point (3, 2, 0...

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  7. The angle between the lines whose direction cosines satisfy the equati...

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

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

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

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

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

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  13. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  14. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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

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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. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  18. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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  19. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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  20. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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