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
(i) One-One (Injective):

If is said to be one-one i.e., &

(ii) Onto (Surjective):

If is said to be onto i.e., .

(iii) One-one & Onto (Bijective):

If is said to be bijective i.e., is both injective & surjective i.e., one-one correspondence

(iv) Many-one:

A function is said to be a many-one function, if two or more elements of have the same image in .

Thus is many one if for , but .

(v) Into:

If is into such that at least one element in codomain which is not the image of any element is domain.

Hence have no pre-image in .

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