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The distance of the point (1,-2,3) from ...

The distance of the point (1,-2,3) from the plane x-y+z = 5, measured parallel to the line `x/2 = y/3 = z/(-6)` is .............

A

1

B

`6/7`

C

`7/6`

D

None of these

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A
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The equation of the plane passing through (1,-3,-2) and perpendicular ...

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  2. Find the distance of the point (-1, -5, -10) from the point of interse...

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  3. The distance of the point (1,-2,3) from the plane x-y+z = 5, measured ...

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  4. The plane contains the vectors 2 hat i + 3 hat j - hat k and hat i + h...

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  5. A plane meets the axes in the points, A, B and C. If the centroid of D...

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  6. Out of the following planes , which plane is passing through theline o...

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  7. A plane is passing through (1,0,0) and (0,1,0) and it makes and angle ...

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  8. The equation of the plane passing through origin and the line of inter...

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  9. The equation of the plane containing the lines vec r = vec (a1) + lamb...

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  10. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

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  11. The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x +...

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  12. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

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  13. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

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  14. The equation of the plane passing through the line of intersection of ...

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  15. The vector equation of the plane containing the line vec r (-2 hat i -...

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  16. The plane passing through the intersection of the planes x+y +z =1 and...

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  17. The equation of line passing through the point (-4,3,1) parallel to th...

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  18. The equation of plane containing the line x/2 = y/3 = z/4 and perpendi...

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  19. If the lines x = ay + b ,z = cy + d and x= a'z + b',y = c'z + d'' are ...

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  20. The plane parallel to the lines (x+2)/(3) = (y-2)/(-1) = (z+1)/(2) an...

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