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Planes are drawn parallel to co-ordinate planes through the points (3, 0, -1) and (-2, 5, 4). Find the lengths of the edges of the parallelopiped so formed.

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MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the image of the point in the specified plane : (- 4,0, 1) in t...

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  2. Find the perpendicular distances of the point P (a, b, c) from the co-...

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  3. Planes are drawn parallel to co-ordinate planes through the points (3,...

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  4. Fill in the blanks : The x-axis and y-axis, taken together, determin...

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  5. The co-ordinate of points in the xy-plane are of the form ……..

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  6. Co-ordinate planes divide the space into …….. Octants.

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  7. Find the distance between the points : (1, -3,4) and (- 4, 1, 2) .

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  8. Find the distance between the points : (- 3,7,2) and (2, 4, - 1) .

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  9. Find the distance between the points : (- 1,3, - 4) and (1, - 3, 4) ...

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  10. Find the distance between the points : (2,-1,3) and (- 2,1,3).

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  11. Find the equation of the set of points which are equidistant from the ...

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  12. Find the locus of a point, which is equidistant from the points (-1, 2...

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  13. Find the locus of a point, which moves so that its distance from (1, 2...

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  14. Find the points on the X-axis, which are at a distance of 2 sqrt6 unit...

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  15. Find the co-ordinate of a point on y-axis which are at a distance of 5...

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  16. Find k so that the distance between the points (7, 1, - 3) and (4,5, k...

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  17. Prove that the following points are collinear : (- 2, 3, 5), (1, 2,...

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  18. Prove that the following points are collinear : (2, - 1, 3), (4, 3, ...

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  19. Prove that the following points are collinear : (6, - 7, - 1), (2, -...

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  20. Prove that the following points are collinear : (- 1, 4, - 2), (2, -...

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