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A line with positive direction cosines p...

A line with positive direction cosines passes through the pint P(2,-1,2) and makes the plane `2x+y+z=9` at point Q. The length of the line segment PQ equals:

A

1

B

`sqrt2`

C

`sqrt3`

D

2

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. If the straight lines : (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z...

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  2. Let P(3, 2, 6) be a point in space and Q be a point on the line r=(ha...

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  3. A line with positive direction cosines passes through the pint P(2,-1,...

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

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

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

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  7. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  8. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha, w...

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

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

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  11. The distance of the point (1,-5, 9) fromthe plane x-y+z=5, measured al...

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

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

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  15. The point P is the intersection of the straight line joining the point...

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  16. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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

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

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  19. The angle between the lines whose direction cosines satisfy the equa...

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  20. The distance of the point (1,0,2) from the poitn of intersection of th...

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