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Find the locus of a point, which moves s...

Find the locus of a point, which moves so that its distance from (1, 2, 3) is four times its distance from YZ-plane.

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MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the set of points which are equidistant from the ...

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

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

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

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

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

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

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

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

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

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  11. Prove that the following points are collinear : (3,-5,1), (-1, 0, 8)...

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

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  13. Prove that the following points are collinear : (4, 5, - 5), (0, - 1...

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  14. Prove that the following points are collinear : (1, 2, 3), (4, 0, 4)...

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

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  16. Verify that the points (3, - 2, 4), (1, 0, - 2) and (-1,2, - 8) are co...

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  17. Show that the triangle with vertices (0, 7, 10), (-1, 6, 6) and (- 4, ...

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  18. Are the points A (3, 6, 9), B (10, 20, 30) and C (25,- 41, 5) the vert...

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  19. Prove that the points (0, 7,-10), (1, 6,-6) and (4,9, - 6) are the ver...

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  20. Show that A(a,b,c),B(b,c,a) and C(c,a,b) are the vertices of an equila...

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