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If A and B be the points (3, 4, 5) and (...

If A and B be the points (3, 4, 5) and (-1,3, -7), respectively, find the equation of the set of points P such that `PA^2 + PB^2 = k^2`, where k is a constant.

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PSEB-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the distance between the following pair of points: (2, 3, 5) and ...

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

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  3. Find the distance between the following pair of points: (-1,3,-4) and ...

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

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

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

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

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  8. Verify the following: (-1, 2, 1), (1, -2, 5), (4, -7, 8) and (2, -3, 4...

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

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  10. Find the equation of the set of points P, the sum of whose distances f...

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

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

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  13. Find the ratio in which theYZ-plane divides the line segment formed by...

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

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  15. Find the coordinates of the points which trisect the line segment join...

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  16. Three vertices of a parallelogram ABCD are A(3, - 1, 2), B (1, 2, - 4)...

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  17. If the origin is the centroid of the triangle PQR with vertices P (2a,...

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  18. Find the coordinates of a point on y-axis which are at a distance of 5...

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  19. A point R with x-coordinate 4 lies on the line segment joining the poi...

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  20. If A and B be the points (3, 4, 5) and (-1,3, -7), respectively, find ...

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