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Show that the point A(0,1,2), B(2,-1,3) ...

Show that the point `A(0,1,2), B(2,-1,3)` and `C(1,-3,1)` are vertices of an isosceles right angled triangle.

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V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Using section formula, prove that the three points A(-2,3,5), B(1,2,3)...

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  17. The mid -points of the sides of a triangle are (1,5,-1),(0,4,-2) and (...

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

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  19. Find the coordinates of the points which trisect the line segment AB, ...

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  20. Let P and Q be any two points. Find the coordinates of the point R whi...

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