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Find the locus of a point P which moves in such a way that 2PA=3PB when A (1,-2,3) & B(2,1,4) are given points

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PATHFINDER-3D-GEOMETRY-QUESTION BANK
  1. Find the coordinates of the point which divides the join of the points...

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

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  3. Find the locus of a point P which moves in such a way that 2PA=3PB whe...

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  4. Find the locus of a moving point whose distance from the y-axis is alw...

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  5. Find the locus of a moving point whose distance from the point(1,-1,2)...

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  6. Find the ratio in which the line joining the pts (-3,4,8) and (5,-6,4)...

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  7. Prove that the triangle formed by joining the three points whose co-or...

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  8. A,B,C are three points on the axes of x, y and z respectively at dist...

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  9. Find the locus of a point P such that3bar(PA^2)=2bar(PB^2)where A(1,1,...

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  10. Find the possible octants where the point (x,y,z)may lie for z-y=0

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  11. Find the octants which contain the point (x,y,z) satisfying xygt0

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  12. Give the interpretation of the following equation x=0,y=0

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  13. Give the interpretation of the following equation y=0,z=0

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  14. Give the interpretation of the following equation x=a,z=c

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  15. Prove that the points (1,-3,1), (0,1,2), (2,-1,3) are the vertices of ...

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  16. The midpoints of the sides of a triangle are (1,5,-1), (0,4,-2) & (2,3...

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

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  18. Show that the points (1,1,1), (-2,4,1), (-1,5,5) & (2,2,5) form a squa...

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  19. Find the coordinates of the points which divide the segment joining th...

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  20. A & B are two pts (0,2,3) and (2,-2,1) respectively find the locus of ...

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