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Find the ratio in which the line segment...

Find the ratio in which the line segment through (1,3,-1) and (2,6,-2) is divided by zx-plane.

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SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the equation of the plane passing through the points (2, 1, -1) a...

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

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

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

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

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

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

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

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

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

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

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  12. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

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  13. Find the distance between the parallel planes 3x - 2y + 6z - 7 = 0 and...

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  14. Find the number of points (x, y, z) in space other than the point (1,-...

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  15. Write the equation of the plane passing through (3,-6,-9) and parallel...

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  16. Find the equation of the plane passing through the points (-2, 3, 5), ...

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  17. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  18. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

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  19. Write the axis to which the plane by+cz+d=0 is parallal.

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  20. Find the shortest distance between the lines (x-1)/(2) = (y-2)/(3) =...

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