NCERT Solutions for Class 11 Maths Exercise 5.3 Complex number and Quadratic equations in Hindi and English Medium updated for Session 2022-2023. Class 11 Maths solutions are useful for both CBSE and state board students. PDF and videos of solutions are given here.
NCERT Solutions for Class 11 Maths Exercise 5.3
Class 11 Maths Exercise 5.3 Solutions in Hindi and English Medium
Class 11 Maths Exercise 5.3 Solutions
Class 11 Maths Exercise 5.3 contains questions based on quadratic equations. After solving with the help of quadratic equations we can put it in polar form also. The polar representation of a complex number is the second part or sub-part of polar representation.
This is another important function given in 5.3 to understand the concept. Here, the point P is uniquely mentioned on the plane, which is directed by a real number, and that is r, and theta. This pair or point will be known as the polar coordinates of point P. The polar form of a complex number is helpful to represent it into a graph.
Components of Complex numbers in Polar form
In simpler words, the point r is the modulus of a complex number and the parameter is denoted by the sign theta which is an angle, the argument. Here, the position of theta is on the positive side of the plane. The concept has a significant importance when performing the functions like multiplication and division of complex numbers. It is applicable in the paragraphs 5.3 Multiplication of two complex numbers and Division of two complex numbers. The questions given in Exercise 5.3 are simple to solve using quadratic equations.
The Argument and Modulus of a Complex Number
The explanation of complex number consists of two parts. Firstly, you will be introduced to polar representations. Secondly, what the values of the equations that you are going to use or keep in mind to understand the principle argument of z. This is indicated by arg z. The concepts are a little tricky to understand for the students who are confused in quadrant system Trigonometry.
Here every small piece of information can manipulate your solution in a positive or negative direction. If not, you will definitely get a hard time understanding, and worse can make you confused. However, to understand the functions of polar representation of complex numbers is to check and practice the example. These examples, are there to guide the steps to prove the concept or how the concept is connecting with each other.
Complex number and Quadratic equations
Once you understand the concepts of polar representation and its different parts and its complexities. The next concepts will become much easier for you. As you have already practiced it enough times in previous classes. Quadratic equations where you have solved many sets of problems related to real numbers.
Where discriminant is non-negative that means it will be equal and greater than 0. Here you can take the suitable example of ax² + hx + c = 0, where the co-efficient are a, b, c, and a is not equal to 0. In exercise 5.3 there are 10 questions only that too are mainly related to quadratic equations.