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Let the line L1: (x-1)/2=(y-2)/3=(z-3)/4...

Let the line `L_1: (x-1)/2=(y-2)/3=(z-3)/4` and `L_2:( x-2)/1= (y-3)/2=(z-k)/4` intersect at `P`.The least distance of `P` from the plane `3 x-4 y - 12 z+4=0`, equals

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CENGAGE-THREE DIMENSIONAL GEOMETRY-Question Bank
  1. Let the line L1: (x-1)/2=(y-2)/3=(z-3)/4 and L2:( x-2)/1= (y-3)/2=(z-k...

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  2. Consider two lines L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)/4...

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  3. If the lines L1: x-2 y+4 z=0,2 x+y+z-4=0 and L2: (x-2)/2=y/1=(z-1)/2 a...

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  4. Line drawn perpendicular to plane x+2 y-3 z=21 at point A meets plane ...

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  5. The equation of the plane which has the property that the point Q(5,4,...

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  6. Consider a plane Pi: vec r (2 hati+hatj-hatk)=5, a line L1: ve cr =3 h...

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  7. If L: x-2/a=y-0/b=z-p/c where a, b in I is a line parallel to the line...

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  8. If the angle between the plane x-3 y+2 z=1 and the line x-1/2=y-1/1=z-...

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  9. Aplane P is perpendicular to the vector A=2 i+3 j+6 k and contains the...

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  10. The intersection of the planes 2 x-y-3 z=8 and x+2 y-4 z=14 is the lin...

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  11. Let Q be the foot of perpendicular from the origin to the plane 4 x-3 ...

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  12. If a line passing through A(1,2,3) and B(-1,3,5) meets the plane x+3 y...

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  13. If direction ratios of the normal of the plane which contains the line...

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  14. The point of intersection of the plane vecr .(2 hati-hatj+3 hatk)=6 wi...

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  15. Shortest distance between barz -axis and the line x+y+2 z- 3=0=2 x+3 y...

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  16. If the plane 2 x .+y+2 z harpoons 9 intersects the co-ordinate axes in...

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  17. If the plane 2 x-2 y-z-11=0 makes an angle sin ^-1(lambda) with x -axi...

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  18. The vector barA B=3 hati+4 hatk and overarrowA C=5 hati-2 hatj+4 hatk ...

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  19. The distance of the point (-1,-5,-10) from the point of intersection o...

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  20. Consider two lines in space as L1: vecr1=hatj+2 hatk+lambda(3 hati-hat...

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