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Find the ratio in which the line segment...

Find the ratio in which the line segment joining the points (4, 8, 10) and (6, 10, -8) is divided by yz-plane.

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Find the ratio in which the line joining the points (4,8,10) and (6,10,-8) is divided by YZ-plane.

Find the ratio in which the line segment joining the point (-2,4,7) and (3,-5,8) is divided by the yz-plane.

Find the ratio in which the segment joining the points(-3, 10) and (6,-8) is divided by (- 1, 6).

Find the ratio in which the line joining the points (- 2, 4, 5) and (3,- 5, 4) is divided by xz plane.

Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-5) is divided by the xy-plane.

The line segment joining the points (-3,-4) and (1,-2) is divided by y-axis in the ratio:

Find the ratio in which the line segment joining : (2,1,5) and (3,4,3) is divided by the plane x+y-z=1/2

Find the ratio in which the line segment joining A (1,- 5) and B (- 4, 5) is divided by the x-axis. Also find the co ordinates of the point of division.

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MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the ratio in which the line joining the points (- 2, 4, 5) and (3...

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

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  3. Find the ratio in which the line segment joining the points (4, 8, 10)...

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  4. Find the ratio in which yz-plane divides the line segment formed by Jo...

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  5. Find the ratio in which 2x+3y+5z=1 divides the line joining the points...

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  6. Given that A (3, 2,-4), B(5, 4, -6) and C(9, 8, -10) are collinear. Fi...

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  7. Using Section formula, show that the points A (2,- 3, 4), B (-1, 2, 1)...

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  8. Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find...

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  9. If the mid points of the sides of a triangle are (1, 5, -1), (0, 4, -2...

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  10. Show that the points (-1,2,1), (1,-2,5), (4,-7,8) and (2,-3,4) are ver...

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

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  12. Show that the points A(1, 2, 3,), B (-1, -2. -1), C(2, 3, 2) and D(4, ...

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  13. The vertices of triangle are A(1,1,2),B(4,3,1) and C(2,3,5). A vector ...

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  14. Find the lengths of the medians of the triangle A (0, 0, 6), B (0, 4, ...

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

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

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  17. Planes are drawn through the points (5, 0, 2) and (3, - 2, 5) parallel...

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  18. Prove that the lines joining the vertices of a tetrahedron to the cent...

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  19. Find the lengths of the edges of the rectangular parallelopiped formed...

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  20. Verify that (0, 7, 10) , (-1,6,6) and (-4, 9,6) are the vertices of a ...

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