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Find the ratio in which the join the A(2...

Find the ratio in which the join the `A(2,1,5)a n dB(3,4,3)` is divided by the plane `2x+2y-2z=1.` Also, find the coordinates of the point of division.

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To solve the problem, we need to find the ratio in which the line segment joining points A(2, 1, 5) and B(3, 4, 3) is divided by the plane given by the equation \(2x + 2y - 2z = 1\). We will also find the coordinates of the point of division. ### Step 1: Set up the coordinates of points A and B Let: - Point A = (2, 1, 5) - Point B = (3, 4, 3) ### Step 2: Assume the division ratio ...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. Using the section formula, prove that the three pints A(-2,3,5),B(1...

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  2. Find the coordinates of the points which trisect the line segment A...

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  3. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

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  4. In fig. 28.7 if the coordinates of point P\ a r e\ (a , b , c) then Wr...

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  5. Planes r drawn parallel to the coordinate planes through the point P(x...

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  6. Name the octants in which the following points lie: (5,2,3)

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  7. Name the octants in which the following points lie: (-5,-4,7)

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  8. Name the octants in which the following points lie: (-5,4,3)

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  9. Name the octants in which the following points lie: (-5,-3,-2)

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  10. Name the octants in which the following points lie: (4,-3,5)

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  11. Name the octants in which the following points lie: (2,-5,-7)

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  12. Name the octants in which the following points lie: (7,4,-3)

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  13. Name the octants in which the following points lie: (-7,2,-5)

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  14. Find the image of: (-2,3,4) in the yz-planes.

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  15. Find the image of: 5,2,-7) in the xy-planes.

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  16. Find the image of: (-4,0,0) in the xy-planes.

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  17. Find the image of: (-5,4,-3) in the xz-planes.

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  18. Find the image of: (-5,0,3) in the xz-planes.

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  19. A cube of side 5 has one vertex at the point (1,0,1) and the three ...

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  20. Planes are drawn parallel to the coordinate planes through the points ...

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