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

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

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MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -...

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

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

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  4. Find the co-ordinates of the point, which is equidistant from four poi...

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  5. Find the co-ordinates of the point, which is equidistant from four poi...

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  6. Show that (-1, 4, -3) is the circumcentre of the triangle formed by th...

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  7. Find the co-ordinates of the point, which divides the join of (-2, 3, ...

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  8. Find the co-ordinates of the point, which divides the join of (-2, 3, ...

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  9. Find the co-ordinates of the points, which divide the join of the poin...

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  10. Find the co-ordinates of the points, which divide the join of the poin...

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  11. Find the co-ordinates of the mid-point of the join of the points A (3,...

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

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  13. Find the co-ordinates of the point R, which divides the join of P (0, ...

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  14. Find the ratio in which the line joining the points (- 2, 4, 5) and (3...

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  15. Find the ratio in which the line joining the points (- 2, 4, 5) and (3...

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  16. Find the ratio in which the line segment joining the points (4, 8, 10)...

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  17. Find the ratio in which yz-plane divides the line segment formed by Jo...

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  18. Find the ratio in which 2x+3y+5z=1 divides the line joining the points...

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  19. Given that A (3, 2,-4), B(5, 4, -6) and C(9, 8, -10) are collinear. Fi...

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

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