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Find the equations of the perpendicular from the point (3, -1, 11) to the line `(x)/(2)=(y-2)/(3)=(z-3)/(4)`. Also find the coordinates of the foot of the perpendicular and length of the perpendicular.

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A, B, C, D
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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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  2. Find the equation of the plane passing through the points (3, 4, 1), (...

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  3. Find the equations of the perpendicular from the point (3, -1, 11) to...

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  4. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  5. Find the distance between the point (7,2,4) and the plane determined b...

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  6. Find the distance between the point P(6,5,9) and the plane determined ...

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  7. Find the cartesian and vector equations of the planes passing through ...

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  8. Find the co-ordinates of the points where the line through the points ...

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  9. Find the coordinates of the point where the line through the points A ...

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  10. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

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

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  12. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  13. Find cartesian equations of the plane containing the lines: vecr=2hat...

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  14. Find the equation of the plane containingg the lines: vecr=hati+hatj+l...

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  15. Find the value of k for which the following lines are perpendicular to...

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  16. Find the equation of the plane passing through the points (2,1,0), (3,...

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  17. Find the vector and Cartesian form of the equation of the plane passin...

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  18. The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point o...

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  19. Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...

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  20. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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