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Show that the points A(1,2,3),B(-1,-2,-1...

Show that the points `A(1,2,3)`,`B(-1,-2,-1)`, `C(2,3,2)` and `D(4,7,6)` are the vertices of a parallelogram.

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V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Using section formula, show that the points A(2,-3,4) , B(-1,2,1) and ...

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

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

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

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

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  7. Find the lengths of the medians of the triangle with vertices A(0,0,6...

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

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

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

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  11. Find the distance between the points P(-2,4,1).and Q(1,2,-5).

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  12. Prove by using distance formula that the A(1,2,3),B(-1,-1,-1) and C(...

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  13. Determine the point in X Y plane which is equidistant from three point...

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  14. Find the locus of the point which is equidistant from the point A(0,2,...

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  15. Show that the point A(0,1,2), B(2,-1,3) and C(1,-3,1) are vertices of ...

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  16. Find the coordinates of a point equidistant from the four points 0(0,0...

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  17. Find the coordinates of a point which divides the join of P(2,-1,4) an...

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  18. Find the coordinates of a point which divides the join of P(2,-1,4) an...

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  19. Find the ratio in which the line joining the points (1,2,3) and (-3,4,...

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  20. Find the ratio in which the join of A(2,1,5) and B(3,4,3) is divided b...

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