NIOS maths 311 book 2 Three dimensional Geometry 33.3 solutions ( maths class 12)
NIOS Mathematics 311 book 2 Module IX Chapter Three-Dimensional Geometry Check your progress 33.3 solutions are given.
You should study the textbook lesson Three-Dimensional Geometry very well.
You should also observe and practice all example problems and solutions given in the textbook.
You can observe the solutions given below and try them in your own method.
NIOS Maths 311 book 2 solutions for some chapters
Three Dimensional Geometry
Three Dimensional Geometry 33.3 Solutions NIOS class 12 ( maths class 12)
Maths class 12 NIOS 311
Three Dimensional Geometry
Chapter 33
Check your progress 33.3
- Find the coordinates of the point which divides the line segment joining two points (2, -5, 3) and (-3, 5, -2) internally in the ratio 1 : 4.
2. Find the coordinates of the points which divide the join of the points (2, -3, 1) and (3, 4, -5) internally and externally in the ratio 3: 2.
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3. Find the ratio in which the line segment joining the points (2, 4, 5) and (3, 5, -4) is divided by the YZ-plane.
Check your progress 33.3 solutions NIOS maths class 12
4. Show that the YZ-plane divides the line segment joining the points (3, 5, -7) and (-2, 1, 8) in the ratio3; 2 at the point (0, 13/5, 2).
5.Show that the ratios in which the coordinate planes divide the join of the points (-2, 4, 7) and (3, -5, 8) are 2: 3, 4: 5 (internally) and 7:8 (externally).
6. Find the coordinates of a point R which divides the line segment P (x, y, z) and Q (x, y, z) externally in the ratio. Verify that Q is the mid-point of PR.
Note; Observe the solutions and try them in your own method.