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)

(ii)

(iii)

(iv)

(v)

**Power of **

In general, for any ,

Here, are roots of the equation , where we get two real roots, and and two imaginary roots and , by solving:

**The Modulus of a Complex Number**

Let be a complex number. Then, the modulus of , denoted by , is defined to be the non-negative real number i.e.,

**Example:**

Let

**Conjugate of a Complex Number**

Let , be a complex number. Then, the complex conjugate of , denoted by , is a complex number , i.e., .

**Example:**

If

**NOTE:**

(i) Let , be a complex number which is purely real, it has no imaginary part.

i.e.,

(ii) Let , be a complex number which is called purely imaginary, it have no real part.

i.e,

**Some Important Properties:**

(i) If then we get,

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