### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Some important identities of Complex Numbers

(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,  Scroll to Top