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Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

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Find the equations of the line passing through the point (1, -2, 3) and parallel to the planes x -y + 2z = 3 and 3x + 2y - z = 4.

Find the equations of the line passing through the point (1, 2, -3) and parallel to the planes x + y -2z = 2 and 3x - 2y + z = 4.

Find the equation of the plane passing through (-1,-1,2) and perpendicular to the planes 2x+3y+3z=2 and 5x-4y+z=6 .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane parallel to the line (x-2)/1=(y-1)/3=(z...

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  2. Evaluate int dx/(secx + tanx)

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  3. Find the equation of the line passing through (1,2,3) and parallel to ...

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  4. Find the equation of the plane, which contains two lines: (x-4)/1=(y-3...

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

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  6. Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4.

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

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  8. Find the co-ordinates of the point P, where the line through A(3,-4,-5...

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

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  10. Find the distance of the point (-1 , -5 , -10) from the point of inter...

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  11. Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 ...

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  12. If the lines: (x-1)/-3=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)/5...

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  13. Find the length and the foot of the perpendicular from the point (7, 1...

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  14. find the length and the foot of perpendicular drawn from the point (1,...

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

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  16. Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-...

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

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

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  19. Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane ...

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  20. Find the distance of the line (x+1)/-3=(y-3)/2=(z-2)/1 in the plane x+...

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