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Find coordinates of the point which of t...

Find coordinates of the point which of the equidistance from O(0, 0, 0), A(l, 0, 0), B(0, m, 0) and C(0, 0, n).

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The correct Answer is:
`(l/2,m/2,n/2)`
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KUMAR PRAKASHAN-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Points (-3, 1, 2), (3, -1, 2) and (-3, 1, -2) are in which octants ?

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  2. A, B and C are foot of perpendicular from point P(-5, 3, 7) on XY, YZ,...

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  3. Give the coordinate of point A, B and C if it denotes the perpendicula...

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  4. A variable plane makes with the co-ordinates plane, tetrahedron of con...

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  5. If the distance between the points (x, -8, 4) and (3, -5, 4) is 5 unit...

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  6. Find the equation of the set of the points P such that its distance fr...

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  7. Find point on Y-axis which is of the distance sqrt10 from point (1, 2,...

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  8. Find distance of the point (3, 4, 5) from Y-axis.

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  9. Find coordinates of the point which of the equidistance from O(0, 0, 0...

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  10. Find co-ordinates of the point which divides line segment joining poin...

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  11. Find co-ordinates of the point which divides line segement joining poi...

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  12. In which ratio XY plane divides line segment joining points (2, 4, -3)...

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  13. Show that the points P(-2, 3, 5), Q(1, 2, 3) and R(7, 0, -1) are colli...

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  14. Find the centroid of a triangle, the mid-point of whose sides are D(1,...

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  15. A(3, 2, -4), B(9, 8, -10) and C(5, 4, -6) are given points. In which r...

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  16. In which ratio the plane x + y + z = 5 divides line segment joining po...

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  17. A(1, 2, 3), B(0, 4, 1) and C(-1, -1, -3) are verticies of DeltaABC. Fi...

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  18. Mid points of sides at DeltaABC are (-2, 3, 5), (4, -1, 7) and (6, 5, ...

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