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Find the locus of points which are equid...

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

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MBD PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Determine the unknown coordinates of the V(a,b,-3) in z-"axis"

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  2. Which axis is determined by the intersection of xy-plane and yz-plane,

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  3. Which axis is determined by the intersection of yz-plane and zx-plane,

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  4. Which axis is determined by the intersection of zx-plane and xy-plane.

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  5. Which axis is represented by a line passing through origin and normal ...

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  6. Which axis is represented by a line passing through origin and normal ...

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  7. Which axis is represented by a line passing through origin and normal ...

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  8. What are the coordinates of a point which is common to all the coordin...

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  9. If A,B,C are projections of P(3,4,5) on the coordinate planes, find PA...

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  10. Find the perimeter of the triangle whose vertices are (0,1,2)(2,0,4) a...

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  11. Show that the points (a,b,c,)(b,c,a) and (c,a,b) from an equilateral...

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  12. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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  13. Show that points (0,1,2),(2,5,8),(5,6,6) and (3,2,0) from a parallelog...

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  14. Show taht the line segment joining (7,-6,1)(17,-18,-3) intersect the l...

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

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

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  17. Find the ratio in which the line segment through (2,4,5),(3,5,-4) is d...

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  18. Find the coordinates of the centroid of the triangle with its vertices...

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

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  20. Prove that the points P(3,2,-4),Q(5,4,-6) and R(9,8:-10) are collinea...

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