Ncert Solutions for Class 11 Mathematics Chapter 12 Introduction to 3D Geometry Exercise Miscellaneous

6 1. Three vertices of a parallelogram ABCD are A(3, – 1, 2), B (1, 2, – 4) and C (– 1, 1, 2). Find the coordinates of the fourth vertex.
  2. Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0,4, 0) and (6, 0, 0).   3. If the origin is the centroid of the triangle PQR with vertices P (2a, 2, 6),
Q (– 4, 3b, –10) and R(8, 14, 2c), then find the values of a, b and c.   4. Find the coordinates of a point on yaxis which are at a distance of 5 root 2
from the point P (3, –2, 5).
  5. A point R with xcoordinate 4 lies on the line segment joining the points
P(2, –3, 4) and Q (8, 0, 10). Find the coordinates of the point R.   6.If A and B be the points (3, 4, 5) and (–1, 3, –7), respectively, find the equation of the set of points P such that ...  
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