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JEE Main Complex Numbers and Quadratic Equations Practice Paper FREE PDF Download

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Last updated date: 22nd Jul 2024
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Complex Numbers and Quadratic Equations Practice Paper with Solutions and Answer Key For JEE Main

The Complex Numbers and Quadratic Equations Practice Paper is important for JEE Main as it covers concepts including complex algebra, roots, and polynomial equations.  which help students excel in JEE Main Maths.


Category:

JEE Main Practice Paper

Content-Type:

Text, Images, Videos and PDF

Exam:

JEE Main

Chapter Name:

Complex Numbers and Quadratic Equations

Academic Session:

2025

Medium:

English Medium

Subject:

Mathematics

Available Material:

Chapter-wise Practice paper with PDF


Vedantu is helping students in their JEE Main Maths preparation with a FREE PDF download of the Complex Numbers and Quadratic Equations Practice Paper. This unique resource offers chapter-wise practice, ensuring you cover every critical topic. By downloading it for FREE, you can enhance your knowledge and boost your confidence in tackling questions efficiently. You will find detailed solutions and answer keys to clarify doubts and learn step-wise ways to practice questions. You can also increase the speed of solving each question by practicing Vedantu’s Complex Numbers and Quadratic Equations Practice Paper for JEE Main.


You can find a minimum of 3 questions from the Complex Numbers and Quadratic Equations chapter in the JEE Main Exam. Here is the table where you can find the weightage of the Complex Numbers and Quadratic Equations chapter in the past 5 years of the JEE Main Exam.


Year

Weightage of JEE Main Questions From Complex Numbers and Quadratic Equations

2023

7%

2022

7%

2021

7%

2020

7%

2019

7%


Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Complex Numbers and Quadratic Equations Practice Paper today to excel in your JEE Main exams!

Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Maths, Physics and Chemistry—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Chemistry, as well as Physics Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper.


Subject-wise Links For JEE Main Practice Paper

JEE Main Chemistry Practice Paper

JEE Main Physics Practice Paper


Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers needs to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.



Important Topics From Complex Numbers and Quadratic Equations for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Complex Numbers and Quadratic Equations. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Complex Numbers and Quadratic Equations. Here are some of the important topics of Complex Numbers and Quadratic Equations.


Complex Numbers:

  • Complex Numbers Basics: Understand what complex numbers are. They have a real part and an imaginary part, typically written as a + bi, where 'a' is the real part and 'b' is the imaginary part.

  • Operations with Complex Numbers: Learn how to add, subtract, multiply, and divide complex numbers. This involves manipulating both the real and imaginary parts.

  • Modulus and Argument: Understand the modulus (magnitude) and argument (angle) of a complex number. You should be able to find these values for a given complex number.

  • Complex Conjugates: Learn about complex conjugates and how to find them. The complex conjugate of a + bi is a - bi.

  • Polar Form: Familiarize yourself with the polar form of complex numbers, which represents them in terms of modulus and argument.


Quadratic Equations:

  • Quadratic Equations Basics: Know what quadratic equations are and how they are written. They typically have the form $ax^2 + bx + c = 0$.

  • Solving Quadratic Equations: Learn how to solve quadratic equations using methods like factoring, completing the square, and the quadratic formula. Practice solving equations of the form $ax^2 + bx + c = 0$.

  • Nature of Roots: Understand how to determine the nature of roots (real, complex, equal, or distinct) based on the discriminant $(b^2 - 4ac)$.

  • Quadratic Equations and Graphs: Explore the connection between quadratic equations and parabolic graphs. Know how to find the vertex, axis of symmetry, and the direction of the parabola.

  • Quadratic Inequalities: Solve quadratic inequalities, where you find the ranges of values for which the quadratic expression is greater than, less than, or equal to zero.

  • Word Problems: Practice solving real-world problems that can be modeled using quadratic equations, such as projectile motion, area maximization, and speed-distance-time problems.


Equations To Score More in Practice Paper of JEE Main Complex Numbers and Quadratic Equations

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out Practice Paper of JEE Main Complex Numbers and Quadratic Equations.


Quadratic Formula:

  • \[x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]


Discriminant of a Quadratic Equation:

  • \[D = b^2 - 4ac\]


Complex Conjugate:

  • \[\text{If } z = a + bi, \text{ then } \bar{z} = a - bi\]


Modulus (Magnitude) of a Complex Number:

  • \[|z| = \sqrt{a^2 + b^2}\]


Argument (Angle) of a Complex Number:

  • \[\theta = \arctan\left(\dfrac{b}{a}\right)\]


De Moivre's Theorem:

  • \[z^n = |z|^n \left(\cos(n\theta) + i\sin(n\theta)\right)\]


For more formulas and equations you can refer Vedantu’s JEE Main Formula page.


What Makes Vedantu’s Practice Paper PDF of JEE Main Complex Numbers and Quadratic Equations Different?

The major role of Practice Paper for JEE Main is to make the students prepare for the exam by providing them with a set of questions that are in the same pattern as the JEE Main exam. Vedantu’s JEE Main Practice Papers are the exact resources that you need right after you finish your learning with each Maths chapter. Let’s take a look at the features of Complex Numbers and Quadratic Equations Practice Paper for JEE Main provided by Vedantu:


  • Quality Content: Vedantu's Practice Paper for Complex Numbers and Quadratic Equations is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

  • Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Complex Numbers and Quadratic Equations, allowing students to thoroughly practice and master each topic.

  • Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Complex Numbers and Quadratic Equations JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

  • User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

  • Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.


How To Prepare For JEE Main With Complex Numbers and Quadratic Equations Practice Paper?

Vedantu’s Complex Numbers and Quadratic Equations JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.


  1. Download the Daily Practice Paper of JEE Main Physics And Measurement.

  2. You can set a timer of 1 hour.

  3. Solve the easy questions first and give time for tough questions.

  4. Note your answers on a sheet of paper and check with the answer key.

  5. Each question carries 4 marks and gives a negative mark of -1 for each question.

  6. Now calculate the score and analyze yourself. 

  7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers. 

  8. Learn how to do the incorrect answers and practice the questions again.

  9. Make a note of the time you take for each question to practice. 


When to Start Preparing With JEE Main Practice Paper of Complex Numbers and Quadratic Equations?

Starting your preparation with JEE Main Practice Paper of Complex Numbers and Quadratic Equations should ideally commence early in your academic journey to allow for comprehensive subject mastery and ample revision, ensuring exam success. To maximize your JEE Main preparation, consider the following timeline for utilizing Daily Practice Paper:


  • Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Complex Numbers and Quadratic Equations.

  • Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Complex Numbers and Quadratic Equations into your routine. 

  • Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.


Additional Materials To cover With  JEE Main Complex Numbers and Quadratic Equations Practice Paper

After learning with the Complex Numbers and Quadratic Equations chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Complex Numbers and Quadratic Equations you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.



Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Complex Numbers and Quadratic Equations, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.



Mastering Complex Numbers and Quadratic Equations With JEE Main Practice Paper

The JEE Main Complex Numbers and Quadratic Equations Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Complex Numbers and Quadratic Equations Daily Practice Paper for FREE!


JEE Mains Sample Paper: Complex Numbers and Quadratic Equations

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Complex Numbers and Quadratic Equations chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.


With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

FAQs on JEE Main Complex Numbers and Quadratic Equations Practice Paper FREE PDF Download

1. What is the importance of practicing differential equations for JEE Main?

Practicing differential equations is crucial for JEE Main because it's a fundamental topic in mathematics and often appears in the exam. It helps you develop problem-solving skills and boosts your confidence.

2. What topics in differential equations should I focus on for JEE Main practice paper?

You should focus on topics like first-order differential equations, linear differential equations, homogeneous and non-homogeneous equations, and applications of differential equations relevant to JEE Main.

3. Are solutions provided along with the practice paper?

Yes, Vedantu provides detailed solutions for the Differential Equations Practice Paper for JEE Main. These solutions are essential for understanding the problem-solving process.

4. How can I evaluate my performance using the answer key?

Compare your answers with the solutions provided in the answer key. Vedantu's answer key will help you identify areas where you need improvement.

5. Is it necessary to solve all the questions in the practice paper at once?

No, you can solve the questions at your own pace. It's better to solve them thoroughly and understand the concepts rather than rushing through.

6. Can I get help or clarification on specific problems from Vedantu's support team?

Vedantu often offers doubt-solving sessions and doubt forums, where you can seek help and clarification on specific problems.

7. Is the practice paper designed according to the latest JEE Main syllabus and pattern?

Yes, Vedantu's practice paper is usually aligned with the latest JEE Main syllabus and pattern to provide relevant practice.

8. Are there any specific strategies for time management while attempting the JEE Main practice paper on differential equations?

Allocate a reasonable amount of time to each question, and if you get stuck, move on and come back later if time permits.