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
**Statement**

The basic unit involved in mathematical reasoning is a mathematical statement.

- A sentence is called a “mathematically acceptable” statement if it is either true or false but not both.
- Statement is also called ‘preposition”.
- The sum of
*x*&*y*is greater than 0.

How Beautiful!

Open the door.

Where are you going?

The above sentence are not statement in mathematical language.

- If a sentence immediately decide is it true or false, then this is acceptable statement, but if it show confusion rather than true or false, is not acceptable as a statement in mathematics.
- Sentence involving variable time such as “today”, “tomorrow”, or “yesterday” are not statements.

**Negation of a Statement**

The denial of a statement is called the negation of the statement.

Example – New Delhi is a city.

The negation of this statement is New Delhi is not a city.

- If P is a statement, then negation of P is also a statement & is denoted by ‘’.
- While forming the negation of a statement, phrases like, ‘It is not the case’ or ‘It is false that’ are also used.

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