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Find the perpendicular distance of the point (1,0,0) from the line : `(x-1)/2=(y+1)/-3=(z+10)/8`. Also find the co ordinates of the foot of the perpendicular.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angle of the tirangle ABC whose vertices are A(-1,3,2), B(2,3...

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  2. Find the length of the perpendicular from the point (1,2,3) to the lin...

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  3. Find the perpendicular distance of the point (1,0,0) from the line : (...

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  4. Find the equations of the perpendicular drawn from the point (2,4,-1) ...

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  5. Find the length and foot of perpendicular drawn from the point (2,-1,3...

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  6. Find the equations of the straight line passing through the point (1, ...

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  7. Find the equation in vector anf cartesian form of the line passing thr...

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  8. Show that, if the axes are rectangular, the equations of the line thro...

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  9. Find the coordinates of the foot of the perpendicular drawn from point...

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  10. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

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  11. Find the equation of the line joining the points A(0,-1,3) and B(2,-3,...

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  12. Find the vector equation of the line joining the points A(1,-1,2) and ...

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  13. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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  14. A line makes angles alpha, beta, gamma, delta with the diagonals of a ...

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  15. If the edges of a rectangular parallelopiped are a, b and c, show that...

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  16. Find the general solution of the following (1+sinx)dy=ydx

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  17. Prove that the two lines whose direction cosines are connected by the ...

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  18. Find the general solution of the following (1+secx)dy=y^2dx

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  19. Find the shortest distance between two lines whose vector equations ar...

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  20. Find the shortest distance between each of the following pair of lines...

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