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Show that the three points A(2,3,4),\ B(...

Show that the three points `A(2,3,4),\ B(-1,2,-3)a n d\ C(-4,1,-10)` are collinear and find the ratio in which C divides AB.

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RD SHARMA ENGLISH-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-All Questions
  1. The vertices f the triangle are A(5,4,6),\ B(1,-1,3)n a d\ C(4,3,2)dot...

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  2. A point C with z-coordinate 8 lies on the line segment joining the ...

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  3. Show that the three points A(2,3,4),\ B(-1,2,-3)a n d\ C(-4,1,-10) are...

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  4. Find the ratio in which the line joining (2,4,5) and (3,5,4) is divide...

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  5. Find the ratio in which the line segment joining the points (2,-1,3) ...

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  6. If the points A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6) are collinear, fi...

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  7. The id points of the sides of a triangle ABC are given by (-2,3,5),(4,...

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  8. Find the ratio in which the sphere x^2+y^2+z^2=504 divides the line jo...

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  9. Find the centroid of a triangle, mid points of whose sides are (1,2...

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

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  11. Find the coordinates of the points which trisect the line segment jo...

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  12. Using section formula, show that the points A(2,-3,4),\ B(-1,2,1)\ a n...

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  13. Given that P(3,2,-4),\ Q(5,4,-6)a n d\ R(9,8,-10) are collinear. Find ...

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  14. Find the ratio in which the segment joining the points (4,8,10) and ...

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  15. Write the distance of the point P(2,3,5) from the xy-plane.

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  16. Write the distance of the point P(3,4,5) from z-axis.

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  17. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

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  18. The coordinates of the mid points of sides AB, BC and CA of A B C are...

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  19. Write the coordinates of the foot of the perpendicular from the point ...

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  20. Write the length of the perpendicular drawn from the point P(3,5, 12) ...

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