NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations: In the earlier classes we have studied that for x2+3=0, x2=-3 and we say that the equation has no real solution. In NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations, we will study how to solve equations like x2+3=0. The NCERT Solutions for Class 11 of this chapter starts with the concept of i (iota), and using this we will solve the quadratic equation
with
. The concept of complex numbers will be used in solving quadratic equations, in solving the alternating current circuits, in vector analysis, etc.
5.1 Introduction
5.2 Complex Numbers
5.3 Algebra of Complex Numbers
5.4 The Modulus and the Conjugate of a Complex Number
5.5 Argand Plane and Polar Representation
5.6 Quadratic Equations
As mentioned in the first paragraph and
and any number can be represented as a complex number of the form a+ ib where a is the real part and b is the imaginary part, for example, 1=1+0i. A complex number a+ib in the X-Y plane is represented as follows
is
where
So a complex number of the form a+ ib can be represented as
and the above representation is known as the polar form of a complex number. Practicing all the NCERT Solutions are mandatory for the exam.
Chapter-1 |
|
Chapter-2 |
|
Chapter-3 |
|
Chapter-4 |
|
Chapter-6 |
|
Chapter-7 |
|
Chapter-8 |
|
Chapter-9 |
|
Chapter-10 |
|
Chapter-11 |
|
Chapter-12 |
|
Chapter-13 |
|
Chapter-14 |
|
Chapter-15 |
|
Chapter-16 |