NCERT Solutions for Miscellaneous Exercise Chapter 5 Class 11 Complex Numbers

NCERT Solutions for Miscellaneous Exercise Chapter 5 Class 11: Top academic experts of Embibe have prepared the NCERT solutions to miscellaneous exercise Class 11 Chapter 5, which includes problems on complex numbers and quadratic equations. Class 11 Maths Chapter 5 is part of the Term I CBSE syllabus for 2025 and contains a variety of critical mathematical theorems and quadratic formulas.

Referring to the Class 11 Maths Chapter 5, miscellaneous exercise solutions will assist students in solving quadratic and complex number problems quickly, accurately, and efficiently. Embibe also provides step-by-step solutions to all NCERT Mathematics Class 11 problems. The miscellaneous exercise Class 11 Chapter 5 includes problems ranging from easy to difficult. Read on to get the PDF exercises, chapter summary and solutions.

NCERT Solutions for Miscellaneous Exercise Chapter 5 Class 11: Important Topics

While NCERT Class 5 Maths Chapter 11 Complex Numbers and Quadratic Equations may initially seem challenging, once students start practising the problems associated with it, it will become simple to get a grasp on. Students can easily become a pro at these topics as they answer more questions.

Embibe provides a wide selection of 3D videos that keep students interested in their studies, even when learning difficult or boring material across all subject areas. The NCERT video lessons offered by Math professionals at Embibe assist students to learn new material and advance academically. Embibe also provides access to 3D Interactive movies, NCERT Exemplars, and other content on its portal.

Let us take a quick look at the key subjects addressed in this exercise before moving on to the next section:

NCERT Solutions for Miscellaneous Exercise Chapter 5 Class 1: Points to Remember

The following are some key points to remember that students should keep in mind to perform effectively and receive the desired exam score:

• √-1 is an imaginary quantity and is denoted by ii.
• If a,ba,b are real numbers, then a number z=a+ibz=a+ib is called a complex number.
• A complex number z=x+iyz=x+iy can be represented by a point PP on the plane, which is known as the Argand or Gaussian or Complex plane.
• The conjugate of a complex number z=a+ibz=a+ib is denoted by z¯¯¯z¯ and is equal to a−ib
• Argument of a complex number is not unique since if θθ is a value of the argument, so also is 2nπ+θ2nπ+θ where n∈I
• The Euler’s notation is eiθ=cosθ+isinθeiθ=cosθ+isinθ. z=reiθz=reiθ is known as the Euler’s form of zz.
• If nn is any rational number, then (cosθ+i sinθ)n=cos nθ+i sin nθ(cosθ+i sinθ)n=cos nθ+i sin nθ.
• Cube roots of unity are 1,ω,ω21,ω,ω2.

NCERT Solutions for Class 12 Maths: All Chapters

For NCERT Solutions of the rest of the chapters for Class 12 Maths of all chapters from below:

• 1st Chapter – Relations and Functions
• 2nd Chapter – Inverse Trigonometric Functions
• 3rd Chapter – Matrices
• 4th Chapter – Determinants
• 5th Chapter – Continuity and Differentiability
• 6th Chapter – Application of Derivatives
• 7th Chapter – Integrals
• 8th Chapter – Application of Integrals
• 9th Chapter – Differential Equations
• 10th Chapter – Vector Algebra
• 11th Chapter – Three Dimensional Geometry
• 12th Chapter – Linear Programming
• 13th Chapter – Probability

FAQs on NCERT Miscellaneous Exercise Chapter 5 Class 11

Q.1. Where can I find Class 11 Maths Chapter 5 miscellaneous exercise solutions?
Ans: Embibe provides students with, comprehensive, dependable, and simple NCERT Solutions for miscellaneous exercises Class 11 Chapter 5.

Q.2: Are NCERT Solutions for Class 11 Maths Chapter 5 miscellaneous exemplification sufficient for CBSE Class 11 exams?
Ans: Yes, it is. For CBSE Class 11 exams, NCERT Solutions for Class 11 Maths Chapter 5 miscellaneous exercise is sufficient.

Q.3. What are some preparation strategies for the CBSE Class 11 exams?
Ans: By studying and practicing all of the in-text questions, students can achieve the highest possible score in the CBSE Class 11 exams. They can also practise the previous year and sample question papers to manage their time better.

Q.4 How many exercises are there in the Complex Numbers and Quadratic Equations chapter of CBSE Class 11 Maths?
Ans: There are a total of six exercises in CBSE Class 11 Maths Chapter 5.

Q.5 Where can students find online solutions to NCERT Class 11 Maths Chapter 5 miscellaneous exercise questions?
Ans: Students can solve NCERT miscellaneous exercise Class 11 Chapter 5 questions online at Embibe. It provides detailed and simple solutions for all NCERT concepts.