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Planes are drawn parallel to the coordinate planes through the points (3,0,-1) and (-2,5,4). Find the lengths of the edges of he parallelepiped so formed.

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To find the lengths of the edges of the parallelepiped formed by the planes drawn parallel to the coordinate planes through the points (3,0,-1) and (-2,5,4), we will follow these steps: ### Step 1: Identify the planes The planes parallel to the coordinate planes through the given points can be defined as follows: - For the point (3, 0, -1): - Plane 1: \( x = 3 \) - Plane 2: \( y = 0 \) - Plane 3: \( z = -1 \) ...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. Find the image of: (-5,0,3) in the xz-planes.

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

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

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

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  5. Find the distances of the point P(-4,3,5) from the coordinate axes.

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  6. The coordinates of a point are (3,-2,5). Write down the coordinates of...

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  7. Find the locus of the point which is equidistant from the points A(...

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  8. Find the distance between the following pairs of point: P(1,-1,0)a ...

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  9. Find the distance between the following pairs of point:Q(3,2,-1)a n d\...

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  10. Find the distance between the points P\ a n d\ Q having coordinates (-...

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  11. Using distance formula prove that the following points are collinear: ...

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  12. Using distance formula prove that the following points are collinear: ...

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  13. Using distance formula prove that the following points are collinear: ...

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  14. Determine the points in i. xy-plan e ii. yz-plane and iii zx-plane ...

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  15. Find the points on z-is which are at distance sqrt(21) from the point...

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  16. Show that the points (0,7,10), (-1,6,6) and(-4,9,6) are the vertices o...

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  17. Show that the points A(3,3,3,),\ B(0,6,3),\ C(1,7,7)a n d\ D(4,4,7) ar...

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  18. Prove that the point A(1,3,0),\ B(-5,5,2),\ C(-9,-1,2)\ a n d\ D(-3,-3...

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  19. Show that the points A(1,3,4),\ B(-1,6, 10),\ C(-7,4,7)a n d\ D(-5,1,1...

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  20. Prove that the tetrahedron with vertices at the points O(0,0,0),\ A(0,...

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