Introduction to Three Dimensional Geometry Class 11 CBSE Maths Chapter 12

Class 11 CBSE Maths Syllabus
Chapter 1:Sets
Chapter 2: Relations and Functions
Chapter 3: Trigonometric Functions
Chapter 4: Principles of Mathematical Induction
Chapter 5: Complex Numbers and Quadratic Equations
Chapter 6: Linear Inequalities
Chapter 7: Permutations and Combinations
Chapter 8: Binomial Theorem
Chapter 9: Sequences and Series
Chapter 10: Straight lines
Chapter 11: Conic Sections
Chapter 12: Introduction to 3D
Chapter 13: Limits and Derivatives
Chapter 14: Mathematical Reasoning
Chapter 15: Stastics
Chapter 16: Probability

Introduction

The important points are helpful when students are doing their revision. It gives them an idea of the chapter and a quick gist of the important topics. Some of the important points to remember from this chapter are as follows:

Distance between two points A( x₁, y ₁, z₁ ) and B( x₂, y₂, z₂ ): √[(x₂– x₁)² + (y₂ – y₁)² + (z₂ – z₁)² ]
Coordinates of mid-point of given line segment that joins the two points A( x₁, y ₁, z₁ ) and B( x₂, y₂, z₂ ) are [ (x₁ + x₂ )/2, (y₁ + y₂ /2) , (z₁ + z₂ /2) ]
The coordinates of centroid of triangle and their vertices are (x₁, y ₁, z₁ ) , (x₂, y₂, z₂ ) and (x₃ , y₃ , z₃ ) are [ (x₁ + x₂ + x₃ )/3, (y₁ + y₂+ y₃ /3) , (z₁ + z₂ + z₃ /3) ]
Midpoint of a Line Segment: [½ (x1 + x2), ½(y1 + y2), ½(z1 + z2)]
Coordinates of Centroid of a Triangle: [⅓ (x1 + x2 + x3), ⅓ (y1 + y2 + y3), ⅓ (z1 + z2 + z3)]