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Find the equations of the straight line passing through the point (1, 2, - 4) and is perpendicular to the lines : `(x-8)/3=(y+19)/-16=(z-10)/7` and `(x-15)/3=(y-29)/8=(z-5)/-5` .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equations of the perpendicular drawn from the point (2,4,-1) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the general solution of the following (sinx+cosx)dy=y(cosx-sinx)d...

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

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