Unit-I: Sets and Functions

Chapter 1: Sets

10 Topics | 4 Quizzes
Chapter 2: Relations & Functions

14 Topics | 4 Quizzes
Chapter 3: Trigonometric Functions

15 Topics | 4 Quizzes
Unit-II: Algebra

Chapter 1: Principle of Mathematical Induction

3 Topics | 5 Quizzes
Chapter 2: Complex Numbers and Quadratic Equations

9 Topics | 4 Quizzes
Chapter 3: Linear Inequalities

6 Topics | 5 Quizzes
Chapter 4: Permutations and Combinations

4 Topics | 5 Quizzes
Chapter 5: Binomial Theorem

5 Topics | 5 Quizzes
Chapter 6: Sequence and Series

10 Topics | 4 Quizzes
Unit-III: Coordinate Geometry

Chapter 1: Straight Lines

16 Topics | 5 Quizzes
Chapter 2: Conic Sections

5 Topics | 4 Quizzes
Chapter 3. Introduction to Three–dimensional Geometry

7 Topics | 4 Quizzes
Unit-IV: Calculus

Chapter 1: Limits and Derivatives

6 Topics | 4 Quizzes
Unit-V: Mathematical Reasoning

Chapter 1: Mathematical Reasoning

15 Topics | 6 Quizzes
Unit-VI: Statistics and Probability

Chapter 1: Statistics

6 Topics | 5 Quizzes
Chapter 2: Probability

7 Topics | 4 Quizzes
A space is said to be of dimension zero, one, two or three as it comprises of a single point, line, plane or contains points not all of which are co-planers.

‘Space’ shall mean a three -dimensional space.

**Some Axioms on Space**

**(i) Axiom-1:**

Space is a non-empty set of points.

**(ii) Axiom -2:**

If are distinct points in space then and if is a plane containing then

**(iii) Axiom -3:**

Given any three non-collinear point in space is exactly one plane such that

**(iv) Axiom -4:**

If are two distinct planes in a space and is a point such that then there exists another point different from such that

__CONVEX SET__

A subset of a space is said to be a Convex set if, for all . Otherwise it is not a convex set.

**(v) Axiom -5:**

If is a plane is space then the point of not contianed in are divided into two disjoint non-empty convex sets such that

**Note:**

If a point belongs to space we also say that the point lies on/in that space.

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