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

If A and B are 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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A N EXCEL PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. Consider the points A(-5,6,8), B(1,8,11),C(4,2,9) and D(-2,0,6) Find...

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  3. Let A (2,3,5), B(-1,5,-1) and C(4,-3,2) be the vertices of a DeltaABC ...

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  4. Let A (2,3,5), B(-1,5,-1) and C(4,-3,2) be the vertices of a DeltaABC ...

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  5. Consider the points A(2,-3,0) and B (-1,1,c) Find the distance betwe...

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  6. Consider the points A(2,-3,0) and B (-1,1,c) If the distance is 13 u...

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  8. Consider the point A(3,2,-4) and B (9,8,-10) Find the co-ordinates o...

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  10. Suppose that the midpoints of the sides BC,CA and AB of a triangle ABC...

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  11. Given the vertices A(2,-1,4), B(3,2,-6) and C(-5,0,2) of a triangle AB...

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  12. Given the vertices A(2,-1,4), B(3,2,-6) and C(-5,0,2) of a triangle AB...

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  13. Given the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Prove that P,Q...

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  14. Given the points P(1,-1,3), Q(2,-4,5) and R(5,-13,11) Find the ratio...

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

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

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

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  18. Find the co-ordinates of a point on y-axis which are at a distance of ...

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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 are the points (3,4,5) and (-1,3,-7) respectively, find the...

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