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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 a straight line `x = y= z` is

A

`(20 )/(3) `

B

` 3sqrt(10 ) `

C

` 10 sqrt3`

D

` (10 )/(sqrt( 3)) `

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The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. If the projection of a line segment on the x, y and z -axes in 3 dim...

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  2. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

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  3. The equation of a plane through the line of intersection of the planes...

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  4. Equation of a plane which passes through the point of intersection of ...

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  5. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

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  6. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

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

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  8. A symmetrical form of the line of intersection of the planes x= ay +b...

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  9. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

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  10. Equation of the line of shortest distance between the lines (x)/(1) =...

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  11. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

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  12. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

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  13. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

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  14. The angle between the lines 2x =3y =-z and -6x =y =-4z is

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  15. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

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  16. A variable plane passes through a fixed point (1,-2,3) and meets the ...

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  17. The distance of the point (1,0,2) from the point of intersection of t...

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  18. The number of distinct real values of lamda for which the lines (x-1)/...

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

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

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