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Find the equation of set of point P such that` P A^2+P B^2=2 k^2`, where A and B are the points (3,4,5) and (-1,3,-7), respectively.

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V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Show that the points (-2,3,5),(1,2,3) and (7,0,-1) are collinear.

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  2. Are the points A(3,6,9), B(10,20,30) and C(25,-41,5) the vertices of a...

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  3. Find the equation of set of point P such that P A^2+P B^2=2 k^2, where...

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

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  5. Show that the points (-2,3,5),(1,2,3) and (7,0,-1) are collinear.

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  6. Verify the following: (0,7,-10),(1,6,-6) and (4,9,-6) are the vert...

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

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  8. Find the equation of the set of points P, the sum of whose distance fr...

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  9. Find the coordinates of the point which divides the line segment joini...

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  10. Using section formula, prove that the three points (-4,6,10),(2,4,6) a...

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  11. Write the coordinate of the centroid of the triangle whose vertices ar...

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  12. Consider a point A(4,8,10) in space.Find the ratio in which the line s...

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  13. Find the coordinates of the point which divides the line segment joini...

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  14. Given that P(3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the...

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  15. Find the ratio in which the YZ-plane divides the line segment formed b...

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  16. Using section formula, show that the points A(2,-3,4) , B(-1,2,1) and ...

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  17. Find the coordinates of the points which trisect the line segment joi...

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  18. Show that the points A(1,2,3),B(-1,-2,-1), C(2,3,2) and D(4,7,6) are t...

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  19. Find the equation of the set of points such that its distances from th...

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  20. The centroid of a triangle ABC is at the point (1,1,1), If the coordin...

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