12 Introduction to Three Dimensional Geometry
Exercise 1
Question:
If a point is in the XZ-plane. What can you say about its y-coordinate?
Answer:
Answer:
- The point is in the XZ-plane, so it has an x-coordinate and a z-coordinate.
- Since the point is in the XZ-plane, its y-coordinate must be equal to 0.
Question:
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)
Answer:
(1,2,3) - Octant I (4,-2,3) - Octant II (4,-2,-5) - Octant VII (4,2,-5) - Octant VIII (-4,2,-5) - Octant V (-4,2,5) - Octant IV (-3,-1,6) - Octant III (2,-4,-7) - Octant VI
Question:
Fill in the blanks: (i) The x-axis and y-axis taken together determine a plane known as______ (ii) The coordinates of points in the XY-plane are of the form_____ (iii) Coordinate planes divide the space into_____ octants
Answer:
(i) The x-axis and y-axis taken together determine a plane known as the XY-plane.
(ii) The coordinates of points in the XY-plane are of the form (x, y).
(iii) Coordinate planes divide the space into four quadrants or eight octants.
Question:
A point is on the x-axis. What are its y-coordinate and z-coordinates?
Answer:
Answer: The y-coordinate of the point is 0 and the z-coordinate is also 0.
JEE NCERT Solutions (Mathematics)
01 Sets
02 Relations and Functions
03 Trigonometric Functions
04 Principle of Mathematical Induction
05 Complex Numbers and Quadratic Equations
06 Linear Inequalities
07 Permutations and Combinations
08 Binomial Theorem
09 Sequences and Series
10 Straight Lines Exercise
10 Straight Lines Miscellaneous
11 Conic Sections
12 Introduction to Three Dimensional Geometry
13 Limits and Derivatives
14 Mathematical Reasoning
15 Statistics
16 Probability