NCERT Class XI Mathematics - Introduction to Three Dimensional Geometry - Solutions
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Question : 3
Total: 20
Name the octants in which the following points lie:
(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)
(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)
Solution:
Point (1, 2, 3) lies in Octant I.
Point (4, –2, 3) lies in Octant IV.
Point (4, –2, –5) lies in Octant VIII.
Point (4, 2, –5) lies in Octant V.
Point (– 4, 2, –5) lies in Octant VI.
Point (– 4, 2, 5) lies in Octant II.
Point (– 3, –1, 6) lies in Octant III.
Point (2, – 4, –7) lies in Octant VIII.
Point (4, –2, 3) lies in Octant IV.
Point (4, –2, –5) lies in Octant VIII.
Point (4, 2, –5) lies in Octant V.
Point (– 4, 2, –5) lies in Octant VI.
Point (– 4, 2, 5) lies in Octant II.
Point (– 3, –1, 6) lies in Octant III.
Point (2, – 4, –7) lies in Octant VIII.
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