Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

CBSE Class 11 Maths Important Questions

ffImage
widget title icon
Latest Updates

widget icon
Enrol Now :
JEE Test Series
widget icon
Grab Your Seat :
JEE Pro Course
widget icon
Register Today :
JEE One to One Coaching

CBSE Class 11 Maths Important Questions and Answers - FREE PDF Download

Vedantu's Class 11 Maths Important Questions are a great resource for students preparing for their exams. Aligned with the CBSE Class 11 Maths Syllabus, these questions cover key topics that help you understand the concepts better. By focusing on important questions, students can make their study sessions more effective and efficient.

toc-symbol
Table of Content
1. CBSE Class 11 Maths Important Questions and Answers - FREE PDF Download
2. CBSE Class 11 Maths Chapter-wise Important Questions
3. 10 Most Important Questions from Class 11 Maths Chapters
4. How do Maths Important Questions Class 11 Help you with Exams?
5. Additional Study Materials for Class 11 Maths
FAQs


Practising these questions not only improves your confidence but also helps you identify areas where you need more practice. This targeted approach ensures that you are well-prepared for the exam. With Vedantu's support, students can clarify doubts and strengthen their understanding, leading to improved performance. Using these resources will make studying for Class 11 Maths easier and more enjoyable.


CBSE Class 11 Maths Chapter-wise Important Questions

CBSE Class 11 Maths Chapter-wise Important Questions and Answers cover topics from all 14 chapters, helping students prepare thoroughly by focusing on key topics for easier revision.


S. No

Chapter-wise Important Questions for Class 11 Maths

1

Chapter 1 - Sets Questions

2

Chapter 2 - Relations and Functions Questions

3

Chapter 3 - Trigonometric Functions Questions

4

Chapter 4 - Complex Numbers and Quadratic Equations Questions

5

Chapter 5 - Linear Inequalities Questions

6

Chapter 6 - Permutations and Combinations Questions

7

Chapter 7 - Binomial Theorem Questions

8

Chapter 8 - Sequences and Series Questions

9

Chapter 9 - Straight Lines Questions

10

Chapter 10 - Conic Sections Questions

11

Chapter 11 - Introduction to Three Dimensional Geometry Questions

12

Chapter 12 - Limits and Derivatives Questions

13

Chapter 13 - Statistics Questions

14

Chapter 14 - Probability Questions

Competitive Exams after 12th Science
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow

10 Most Important Questions from Class 11 Maths Chapters

Below are 10 important questions from Class 11 Maths chapters that are important for preparing well and understanding concepts easily.


1. What are the different types of sets?

Ans: Sets can be classified into several types:

  • Empty Set: A set with no elements, denoted by {} or Ø.

  • Finite Set: A set with a limited number of elements, like {1, 2, 3}.

  • Infinite Set: A set with unlimited elements, such as the set of all natural numbers.

  • Universal Set: A set that contains all possible elements for a particular discussion.

  • Subset: A set where all its elements are also in another set.


2. What is a function and how is it different from a relation?

Ans: A function is a specific type of relation where each input is associated with exactly one output. In contrast, a relation can have multiple outputs for a single input. For example, in the relation {(1, 2), (1, 3)}, the input 1 relates to two outputs (2 and 3), making it not a function. A function is often expressed as f(x), where f assigns exactly one value to each input x.


3. Define the six trigonometric ratios.

Ans: The six trigonometric ratios based on a right triangle are:

  • Sine (sin θ): $\dfrac{Opposite side }{ Hypotenuse}$

  • Cosine (cos θ): $\dfrac{Adjacent side }{ Hypotenuse}$

  • Tangent (tan θ): $\dfrac{Opposite side }{ Adjacent side}$

  • Cosecant (cosec θ): $\dfrac{Hypotenuse }{ Opposite side }(reciprocal of sine)$

  • Secant (sec θ): $\dfrac{Hypotenuse }{ Adjacent side }(reciprocal of cosine)$

  • Cotangent (cot θ): $\dfrac{Adjacent side }{ Opposite side }(reciprocal of tangent)$


4. How do you solve a quadratic equation using the quadratic formula?

Ans: The quadratic formula is used to find the roots of the equation ax² + bx + c = 0, where a, b, and c are constants. The formula is given by:

x=−b±b2−4ac2ax = $\frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}x=2a−b±b2−4ac​​$

Here, b² - 4ac is called the discriminant. If the discriminant is positive, there are two distinct real roots; if it is zero, there is one real root; and if it is negative, there are two complex roots.


5. How do you represent a linear inequality on a graph?

Ans: To represent a linear inequality like 2x + 3y < 6, first, convert it to the equation 2x + 3y = 6 and plot the line on a graph. Use a dashed line if the inequality is strict (< or >) and a solid line if it is inclusive (≤ or ≥). Then, choose a test point not on the line (like (0,0)) to see if it satisfies the inequality. Shade the region that satisfies the inequality.


6. What is the difference between permutations and combinations?

Ans: Permutations refer to the arrangements of objects where the order matters, while combinations refer to selections where the order does not matter. For example, arranging the letters A, B, and C in different ways gives permutations (ABC, ACB, etc.), while selecting 2 letters from A, B, and C gives combinations (AB, AC, BC).


7. What does the Binomial Theorem state?

Ans: The Binomial Theorem states that the expansion of (a + b)ⁿ can be expressed as:

(a + b)ⁿ =$ \sum_{r=0}^{n} \binom{n}{r} $ 

where $\binom{n}{r}(rn​) $ is the binomial coefficient representing the number of ways to choose r elements from n. This theorem is useful for calculating powers of binomials quickly.


8. What is an arithmetic progression (AP)?

Ans: An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference (d). For example, in the sequence 2, 5, 8, 11, the common difference is 3. The nth term of an AP can be calculated using the formula:

$a_n = a + (n-1)d$

where "a" is the first term.


9. What is the derivative of a function?

Ans: The derivative of a function measures how the function's value changes as its input changes. It is defined as the limit of the average rate of change of the function as the interval approaches zero. Mathematically, for a function f(x), the derivative f'(x) is given by:

f'(x) =$ \lim_{h \to 0} \frac{{f(x+h) - f(x)}}{h}$

Derivatives are fundamental in calculus and are used to find slopes of curves, optimise functions, and analyse motion.


10. How is probability defined and calculated?

Ans: Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible event) to 1 (certain event). It is calculated using the formula:

P(E) = $\dfrac{{\text{Number of favourable outcomes}}}{{\text{Total number of possible outcomes}}}$

For example, the probability of rolling a 3 on a fair six-sided die is P(3) = $\frac{1}{6}$. Understanding probability is essential for analysing risks and making informed decisions.


Here are some important questions for Class 11 Maths. To get a better understanding of each chapter, check the Chapter-wise Important Questions table. This resource will help you understand the key ideas and study well for your exams.


How do Maths Important Questions Class 11 Help you with Exams?

  • Class 11 Maths Important questions highlight the main topics in each chapter. This focus allows students to concentrate their studies on what is most relevant for exams, making their preparation more effective.

  • By practising these questions, students can clarify complex ideas. This deeper understanding makes it easier to recall information during the exam, leading to better performance.

  • Familiarity with important questions helps students feel more prepared. As they practise, their confidence grows, reducing anxiety on exam day.

  • Working through these questions helps students spot topics they struggle with. Recognizing these weak points allows for targeted studying, improving overall performance.

  • Practising important questions teaches students how to manage their time effectively. By timing their practice, they learn to pace themselves, ensuring they can complete the exam


Vedantu's Class 11 Maths Important Questions are a valuable resource for students preparing for their exams. They focus on essential topics, helping students understand key concepts and improve their confidence. By practising these questions, students can identify areas for improvement and get familiar with the exam format. This targeted approach makes studying more effective and enjoyable. With Vedantu's support, students are better equipped to achieve success in their Class 11 Maths exams.


Additional Study Materials for Class 11 Maths

FAQs on CBSE Class 11 Maths Important Questions

1. How Vedantu’s answers assist us in scoring good marks in the class 11 maths exam?

All our solutions are framed with the aid of our subject matter specialists of maths and that they have given every part of the bankruptcy at the side of the exercise questions which might be referred to at the give up of the bankruptcy. Our Solutions for Class 11 Maths will provide an explanation for to you all the essential major points of the chapter. This will basically help you in building up a sturdy basis of the challenge and eventually you can also enhance your grades with it. The answers supplied through us will help in revision before the examination. These paintings as last-minute have a look at notes for your exam which could be visible just earlier than the examination to memorise all the key factors.

2. How can these important questions help improve my exam scores?

Practising these important questions allows you to focus on critical topics and reinforces your understanding. This preparation can lead to better scores by ensuring you're well-prepared for the types of questions that will appear on the exam.

3. What are the principal topics in relation and functions in Class 11 Maths?

The chapter introduces you to the relations and features. You will particularly encounter the Cartesian Product of Sets and Relations. Here, you may, in particular, realise approximately the real-life model of cartesian products which are explained with the assist of Lindt chocolates are available in 5 shapes, three flavours and in six colours.


You can also be taught of functions which encompass Some capabilities and their graphs along with Identity feature, Constant function, Polynomial feature, Rational features, The Modulus function, Signum feature and Greatest integer characteristic. You will also study about the Algebra of real functions which incorporates Addition of two actual features, Subtraction of a real character from another, Multiplication with the aid of a scalar, Multiplication of two real capabilities and The quotient of two real capabilities.

4. Can Vedantu’s Important questions for Class 11 Maths help with understanding complex concepts?

Yes, practising important questions provided by Vedantu can simplify complex ideas by breaking them down into manageable parts. This hands-on approach allows you to grasp difficult topics more easily and gain confidence in your abilities.

5. Name the important concepts discussed in Chapter 10 Conic Sections of NCERT Solutions for Class 11 Maths.


Chapter 10 "Conic Sections" deals with various conic sections like circles, ellipses, parabolas, and hyperbolas. The important topics of this chapter are as follows:

a) Sections of a cone

b) Circles

c) Ellipses

d) Special cases of an ellipse

e) Parabolas

f) Standard equations of a parabola

g) Hyperbolas

h) Degenerated Conic Sections

i) Latus rectum

j) Eccentricity 

k) Standard equation of an ellipse

Important questions on all these topics are available here.

These solutions are available on Vedantu's official website (vedantu.com) free of cost.


6. What are the main topics covered in important questions of “Relations and Functions” for Class 11 Maths?


"Relations and Functions" is Chapter 2 in the NCERT textbook for Class 11. This is an important chapter and includes the following topics:

  1. Cartesian products of sets

  2. Relations

  3. Functions

  4. Functions and their graphs

   i) Identity function

            ii) Polynomial function

            iii) Constant function

            iv) Rational function

            v) Modulus function

            vi) Signum function

            vii) Greatest integer function

  1. Algebra of real functions

Students can find all the important questions from this chapter here.


7. Which book is best for Class 11 Maths?


The most important book for Class 11 Mathematics is the main NCERT textbook. Almost all questions in the CBSE exam are directly asked from the NCERT textbook. For this very reason, it is extremely important to understand the concepts mentioned in the NCERT textbook well and practice the NCERT example, and practise questions thoroughly.


Apart from this, students can also practise Vedantu's important questions, NCERT Solutions, sample papers, and previous years' question papers for thorough practice.


8. How many chapters are there in Class 11 Maths?


Class 11 CBSE Maths curriculum consists of a total of 14 chapters.  Vedantu has carefully enlisted the important questions from all these chapters. Vedantu's Important Questions for Class 11 Mathematics will allow the students to practise questions that are significant from the exam point of view. It will also teach them the right way to compose step-by-step answers to these questions so they do not lose important marks in exams due to incomplete answers.

9. Is Class 11 Maths tough?


Class 11 Mathematics is definitely not a child's play. It has some complicated topics as well. However, this does not mean that with proper guidance, planning, and effort you cannot ace this subject. You can even top in Class 11 Maths if you follow the following steps:


a) Understand and practise NCERT Solutions and example questions thoroughly.

b) Refer to Vedantu's Important questions and practise

c) Solve loads of sample papers and previous years' question papers.

d) Practice over and over again.

10. Does Vedantu provide Solutions for Important questions?

Yes, Vedantu often provides detailed solutions for the Important Questions. This allows you to see the step-by-step process for solving each problem, helping you learn how to tackle similar questions in the future.

11. Are these Important Questions suitable for all learning styles?

Yes, these Important Questions are designed to benefit all students, regardless of their learning preferences. Whether you prefer visual aids, practice problems, or written explanations, you can find resources to match your style.