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The distance of the point (1, -5, 9) fro...

The distance of the point `(1, -5, 9)` from the plane `x-y+z=5` measured along the line `x=y=z` is

A

`3 sqrt10`

B

`10sqrt3`

C

`(10)/(sqrt3)`

D

`20/3`

Text Solution

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The correct Answer is:
B
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
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  2. If the line, (x-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane...

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

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

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  7. ABC is triangle and A = (2, 3, 5), B = (-1, 3, 2) and C=(lamda, 5, mu)...

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  8. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

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

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

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

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

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