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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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JBD PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Show that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.

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  2. Name the octants in which the following point lie: A(2,3,4), B(5,-3,3)...

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  3. Find the distance between the following pairs of points: (6,-1,5) and ...

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  4. Find the distance between the following pairs of points (-1, 3, -4)...

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  5. Find the value of x, so that the point (6,5,-3) is at a distance of 13...

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  6. Find the coordinates of a point on the z-axis which is equidistant fro...

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  7. Find the points on x-axis which are at a distance of sqrt29 units from...

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

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  9. Show that if x^2+y^2=1, then the point (x,y,sqrt(1-x^2-y^2)) is at a d...

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  10. Find the coordinates of the centroid of a triangle the mid points of w...

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  11. Find the ratio in which the line joining the points (4,8,10) and (6,1...

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

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

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

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  15. A point R with x-co-ordinate 4 lies on the line segment joining the po...

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  16. Find the lenghts of the medians of the triangle with vertices A(0,0,6)...

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

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  18. If the origin is the centroid of triangle ABC, with vertices A(a,1,3),...

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