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Prove that the lines (x+4)/3=(y+6)/5=(z...

Prove that the lines `(x+4)/3=(y+6)/5=(z-1)/(-2)` and `3x-2y+z+5=0=2x+3y+4z-4` are co-planar.

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SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. The projection of a line segment overline(OP), through origin O, on th...

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  2. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  3. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  4. Find the locus of points which are equidistant from the points (1,2,3)...

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

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  6. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  7. Prove that the measure of the angle between two main diagonals of a cu...

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  8. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

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  9. Find the equation of the plane passing through the foot of the perpend...

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  10. Find the equation of the plane passing through the points (2, 1, -1) a...

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  11. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

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  12. Find the ratio in which the line segment through (1,3,-1) and (2,6,-2)...

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  13. Find the co-ordinates of the point where the perpendicular from the or...

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  14. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

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  15. Find the image of the point (-2,0,3) with respect to the plane y = 3.

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  16. If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle...

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  17. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  18. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

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  19. Find the equation of the plane passing through the line x = y = z and ...

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  20. Find the equation of the plane which passes through (1, 1, 2) and par...

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