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If the angle between the line x=(y-1)/(2...

If the angle between the line `x=(y-1)/(2)=(z-3)(lambda)` and the plane `x+2y+3z=4 is cos^(-1)(sqrt((5)/(14)))`, then `lambda` equals

A

`2/3`

B

`3/2`

C

`2/5`

D

`5/3`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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

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  18. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  19. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

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  20. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

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