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By Swati Singh
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Updated on 8 Jun 2026, 16:24 IST
Class 11 Maths MCQs are one of the most effective ways to strengthen mathematical concepts, improve problem-solving speed, and prepare for CBSE board exams, school assessments, and competitive examinations such as JEE Main and JEE Advanced. This page provides chapter-wise Class 11 Maths Multiple Choice Questions (MCQs) with detailed solutions, answer explanations, difficulty-level classification, and JEE Foundation tags to help students identify important topics and track their preparation.
The MCQ collection covers the complete Class 11 Mathematics syllabus based on NCERT and CBSE guidelines, including Sets, Relations and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Conic Sections, Limits and Derivatives, Statistics, and Probability. Each question is designed to test conceptual understanding, analytical thinking, and exam-oriented application skills.
Students preparing for CBSE Class 11 exams, NCERT revision, JEE 2028 Foundation, Olympiads, and other engineering entrance examinations can use these Class 11 Maths MCQs for chapter-wise practice, self-assessment, concept reinforcement, and online test preparation. Regular practice of these MCQs helps improve accuracy, build confidence, identify weak areas, and develop the problem-solving skills required for higher-level mathematics and competitive exams.
Practice chapter-wise Class 11 Maths MCQs with answers and detailed solutions based on the latest NCERT syllabus. These MCQ questions are useful for CBSE exam preparation, school tests, Olympiads, and JEE Foundation. Select a chapter below to start practising topic-wise multiple-choice questions.
| Chapter No. | Chapter Name |
| Chapter 1 | Sets MCQ Questions |
| Chapter 2 | Relations and Functions MCQ Questions |
| Chapter 3 | Trigonometric Functions MCQ Questions |
| Chapter 4 | Principle of Mathematical Induction MCQ Questions |
| Chapter 5 | Complex Numbers and Quadratic Equations MCQ Questions |
| Chapter 6 | Linear Inequalities MCQ Questions |
| Chapter 7 | Permutations and Combinations MCQ Questions |
| Chapter 8 | Binomial Theorem MCQ Questions |
| Chapter 9 | Sequences and Series MCQ Questions |
| Chapter 10 | Straight Lines MCQ Questions |
| Chapter 11 | Conic Sections MCQ Questions |
| Chapter 12 | Introduction to Three-Dimensional Geometry MCQ Questions |
| Chapter 13 | Limits and Derivatives MCQ Questions |
| Chapter 14 | Mathematical Reasoning MCQ Questions |
| Chapter 15 | Statistics MCQ Questions |
| Chapter 16 | Probability MCQ Questions |
Students can download the Class 11 Maths MCQ PDF for chapter-wise revision and exam practice. The PDF should include important Class 11 Maths multiple-choice questions with answers, step-by-step solutions, important formulas, difficulty levels and JEE foundation questions.
A good Class 11 Maths MCQ PDF should help students revise faster before school exams, unit tests, coaching tests and JEE foundation tests.
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| PDF Section | What Students Get |
| Chapter-wise MCQs | Questions from every Class 11 Maths chapter |
| Answer Key | Correct option for quick checking |
| Detailed Solutions | Explanation for important questions |
| Formula Recap | Important formulas before each chapter |
| Difficulty Level | Easy, Medium and JEE Foundation |
| Practice Tracker | Checklist to track completed chapters |
| Error Log | Space to revise wrong answers |
Online MCQ tests help students check their speed, accuracy and preparation level. A Class 11 Maths online test is useful for students preparing for CBSE exams as well as JEE because it gives instant feedback and helps identify weak chapters.
A good Class 11 Maths online test should include:
Students preparing for JEE should take chapter-wise tests after completing each chapter and a mixed-topic test every week.
Below are sample Class 11 Maths MCQs with answers and solutions. These questions are useful for quick revision. For deeper practice, students should solve chapter-wise MCQ tests and download the complete PDF.
Sets Class 11 MCQs help students practise subsets, power sets, union, intersection, complement, Venn diagrams and Cartesian products. These Sets MCQs with answers are useful for NCERT revision, CBSE exams and JEE foundation preparation.
a) 10
b) 25
c) 32
d) 64
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Answer: c) 32
Solution: If a set has n elements, then the number of subsets is 2ⁿ. Here n = 5. Therefore, the number of subsets = 2⁵ = 32.
a) 6
b) 9
c) 12
d) 3
Answer: b) 9
Solution: If n(A) = 3, then n(A × A) = n(A) × n(A) = 3 × 3 = 9.
a) 2¹²
b) 12
c) 7
d) 2⁷
Answer: a) 2¹²
Solution: Number of relations from A to B = 2ⁿ⁽ᴬ × ᴮ⁾. Here n(A × B) = 4 × 3 = 12. Therefore, the number of relations = 2¹².
Relations and Functions Class 11 MCQs are important for understanding domain, range, types of functions and mapping. This chapter is also useful for JEE because functions are used in calculus, graphs, inverse functions and coordinate geometry.
a) x ≥ 3
b) x ≤ 3
c) x > 0
d) All real numbers
Answer: a) x ≥ 3
Solution: For a square root function, the expression inside the root must be non-negative. Therefore, x − 3 ≥ 0, so x ≥ 3.
a) R
b) [0, ∞)
c) (−∞, 0]
d) R − {0}
Answer: b) [0, ∞)
Solution: The square of any real number is always non-negative. Therefore, the range of x² is [0, ∞).
a) 7
b) 8
c) 11
d) 12
Answer: c) 11
Solution: f(4) = 2(4) + 3 = 8 + 3 = 11.
Trigonometric Functions is one of the most important Class 11 Maths chapters for JEE. Students should practise MCQs on trigonometric ratios, identities, signs, domain, range, equations and transformations. This chapter is also used in calculus, coordinate geometry, vectors and physics.
a) (−∞, ∞)
b) [−1, 1]
c) [0, 1]
d) (−1, 1)
Answer: b) [−1, 1]
Solution: The sine function always lies between −1 and 1. Therefore, range of sin x is [−1, 1].
a) sin θ
b) cos θ
c) tan θ
d) cot θ
Answer: a) sin θ
Solution: Using the co-function identity, cos(90° − θ) = sin θ.
a) sec²θ
b) cosec²θ
c) cos²θ
d) sin²θ
Answer: a) sec²θ
Solution: The standard trigonometric identity is 1 + tan²θ = sec²θ.
a) 4/5
b) 3/4
c) 5/4
d) 5/3
Answer: a) 4/5
Solution: Since sin θ = 3/5, opposite side = 3 and hypotenuse = 5. By Pythagoras theorem, adjacent side = 4. Therefore, cos θ = 4/5.
Complex Numbers and Quadratic Equations form an important part of JEE algebra. Students should practise questions on iota, modulus, argument, conjugate, roots of quadratic equations, discriminant, nature of roots and relation between roots and coefficients.
a) −1
b) 1
c) 0
d) i
Answer: a) −1
Solution: By definition, i = √−1. Therefore, i² = −1.
a) b/a
b) −b/a
c) −c/a
d) c/a
Answer: b) −b/a
Solution: For the quadratic equation ax² + bx + c = 0, sum of roots = −b/a and product of roots = c/a.
a) Real and equal
b) Real and unequal
c) Imaginary
d) Irrational only
Answer: a) Real and equal
Solution: Discriminant D = b² − 4ac. If D = 0, the equation has real and equal roots.
a) 3
b) 4
c) 5
d) 7
Answer: c) 5
Solution: If z = a + ib, then |z| = √(a² + b²). Here |z| = √(3² + 4²) = √25 = 5.
Linear Inequalities MCQs help students understand intervals, number lines and solution sets. This chapter is useful for algebra and graph-based questions.
a) x ≥ 1
b) x ≥ 2
c) x ≥ 3
d) x ≥ 4
Answer: b) x ≥ 2
Solution: 5x − 3 ≥ 7 ⇒ 5x ≥ 10 ⇒ x ≥ 2.
a) x < 3
b) x > 3
c) x ≤ 3
d) x ≥ 3
Answer: a) x < 3
Solution: x + 2 < 5 ⇒ x < 3.
Permutations and Combinations is a very important chapter for JEE. It is used in probability, counting problems and arrangement-based questions. Students should clearly understand the difference between permutation and combination.
a) 10
b) 15
c) 60
d) 120
Answer: c) 60
Solution: ⁵P₃ = 5!/(5−3)! = 5!/2! = 5 × 4 × 3 = 60.
a) 10
b) 20
c) 30
d) 60
Answer: a) 10
Solution: ⁵C₃ = 5!/(3!2!) = 10.
a) 36
b) 120
c) 720
d) 360
Answer: c) 720
Solution: Number of arrangements of 6 people = 6! = 720.
Binomial Theorem MCQs are useful for practising expansion, general term, middle term, coefficient and term independent of x. This chapter is important for JEE algebra.
a) 6
b) 10
c) 20
d) 15
Answer: c) 20
Solution: In the expansion of (1 + x)⁶, coefficient of x³ is ⁶C₃ = 20.
a) Tᵣ₊₁ = ⁿCᵣaⁿ⁻ʳbʳ
b) Tᵣ = ⁿPᵣaʳbⁿ
c) Tᵣ = aⁿ + bⁿ
d) Tᵣ = n(a + b)
Answer: a) Tᵣ₊₁ = ⁿCᵣaⁿ⁻ʳbʳ
Solution: The general term in the binomial expansion of (a + b)ⁿ is Tᵣ₊₁ = ⁿCᵣaⁿ⁻ʳbʳ.
Sequences and Series MCQs help students practise AP, GP, HP, arithmetic mean, geometric mean and sum of series. This chapter is important for JEE because many problems are formula-based and pattern-based.
a) a + n − 1
b) a + (n − 1)d
c) nd
d) an
Answer: b) a + (n − 1)d
Solution: The nth term of an arithmetic progression is aₙ = a + (n − 1)d.
a) n/2[2a + (n − 1)d]
b) a + (n − 1)d
c) arⁿ
d) a/(1 − r)
Answer: a) n/2[2a + (n − 1)d]
Solution: The sum of the first n terms of an AP is Sₙ = n/2[2a + (n − 1)d].
a) a/(1 − r)
b) ar
c) a/(r − 1)
d) None of these
Answer: a) a/(1 − r)
Solution: For an infinite GP with |r| < 1, sum = a/(1 − r).
a) 35
b) 39
c) 43
d) 47
Answer: b) 39
Solution: Here a = 3 and d = 4. a₁₀ = a + 9d = 3 + 36 = 39.
Straight Lines is a high-priority Class 11 Maths chapter for JEE. Students should practise MCQs on slope, distance formula, section formula, equation of line, angle between lines and distance of a point from a line.
a) −2/3
b) −3/2
c) 2/3
d) 3/2
Answer: a) −2/3
Solution: For ax + by + c = 0, slope = −a/b. Here a = 2 and b = 3. Therefore, slope = −⅔.
a) 5
b) √20
c) 3
d) 7
Answer: a) 5
Solution: Distance = √[(4 − 1)² + (6 − 2)²] = √(9 + 16) = √25 = 5.
a) y = 3
b) x = 2
c) x + y = 5
d) y = x
Answer: a) y = 3
Solution: A line parallel to the x-axis has the form y = constant. Since it passes through (2, 3), the equation is y = 3.
Conic Sections is an important chapter for JEE Maths. Students should practise MCQs on circle, parabola, ellipse and hyperbola. Questions can be formula-based, graph-based or application-based.
a) Ellipse
b) Circle
c) Hyperbola
d) Straight line
Answer: b) Circle
Solution: The standard equation of a circle with centre at origin is x² + y² = r². Here r² = 25, so r = 5.
a) 0
b) 1
c) Greater than 1
d) Less than 0
Answer: a) 0
Solution: The eccentricity of a circle is 0.
a) 0
b) 1
c) Greater than 1
d) Less than 1
Answer: b) 1
Solution: The eccentricity of a parabola is always 1.
Introduction to 3D Geometry helps students understand coordinates in three dimensions, distance formula and section formula. It is useful for coordinate geometry and vector-based topics.
a) 5
b) 12
c) 13
d) 15
Answer: c) 13
Solution: Distance from origin = √(3² + 4² + 12²) = √(9 + 16 + 144) = √169 = 13.
a) y-axis
b) x-axis
c) Both axes
d) None of these
Answer: a) y-axis
Solution: Any point with x-coordinate 0 lies on the y-axis. Therefore, (0, 5) lies on the y-axis.
Limits and Derivatives is one of the most important Class 11 Maths chapters for JEE. It forms the base of calculus. Students should practise standard limits, derivative formulas and simple applications.
a) 0
b) 1
c) ∞
d) −1
Answer: b) 1
Solution: The standard limit is lim x→0 (sin x / x) = 1.
a) 2x
b) x
c) x²
d) 0
Answer: a) 2x
Solution: Using the power rule, d/dx(xⁿ) = nxⁿ⁻¹. Therefore, d/dx(x²) = 2x.
a) cos x
b) −cos x
c) −sin x
d) 1
Answer: a) cos x
Solution: The derivative of sin x with respect to x is cos x.
a) x
b) 1/x
c) ln x
d) −1/x
Answer: b) 1/x
Solution: The derivative of ln x is 1/x, where x > 0.
a) 0
b) 1
c) eˣ
d) x
Answer: c) eˣ
Solution: The derivative of eˣ is eˣ.
Statistics MCQs help students practise mean, median, mode, variance and standard deviation. These questions are usually scoring if formulas are revised properly.
a) 5
b) 6
c) 7
d) 8
Answer: b) 6
Solution: Mean = Sum of observations / Number of observations = (2 + 4 + 6 + 8 + 10)/5 = 30/5 = 6.
a) 5
b) 10
c) 20
d) 25
Answer: b) 10
Solution: Mean = Sum of observations / Number of observations. Therefore, number of observations = 200/20 = 10.
a) 9
b) 7
c) 10
d) 8
Answer: a) 9
Solution: The observations are already in ascending order. Since there are 5 observations, the middle value is the 3rd observation, which is 9.
Probability is an important chapter for JEE and school exams. Students should practise MCQs on events, sample space, dice, coins, cards, independent events and conditional probability.
a) 1/6
b) 1/3
c) 1/2
d) 2/3
Answer: c) 1/2
Solution: Even numbers on a die are 2, 4 and 6. Favourable outcomes = 3. Total outcomes = 6. Probability = 3/6 = ½.
a) 0
b) 1/2
c) 1
d) 2
Answer: b) 1/2
Solution: A coin has two outcomes: head and tail. Probability of getting a head = ½.
a) 0.15
b) 0.8
c) 0.2
d) 0.5
Answer: a) 0.15
Solution: For independent events, P(A ∩ B) = P(A) × P(B). Therefore, P(A ∩ B) = 0.5 × 0.3 = 0.15.
a) 1/2
b) 1/4
c) 1/13
d) 1/26
Answer: a) 1/2
Solution: A deck of 52 cards has 26 red cards. Probability = 26/52 = ½.
Class 11 Maths MCQs for JEE should include both NCERT-level and application-based questions. Students preparing for JEE should not only memorise formulas but also practise questions that test concept application, speed and accuracy.
The most important Class 11 Maths chapters for JEE foundation are Trigonometric Functions, Complex Numbers, Quadratic Equations, Permutations and Combinations, Binomial Theorem, Sequence and Series, Straight Lines, Conic Sections, Limits and Derivatives, and Probability.
| Chapter | JEE Priority | Question Type |
| Trigonometric Functions | Very High | Identities, signs, equations, graphs |
| Complex Numbers | Very High | Modulus, argument, conjugate, roots |
| Quadratic Equations | Very High | Discriminant, roots, inequalities |
| Permutations and Combinations | Very High | Counting, arrangement, selection |
| Binomial Theorem | High | General term, coefficient, middle term |
| Sequence and Series | High | AP, GP, HP, sum of series |
| Straight Lines | Very High | Slope, distance, equation of line |
| Conic Sections | Very High | Circle, parabola, ellipse, hyperbola |
| Limits and Derivatives | Very High | Standard limits, derivatives |
| Probability | Very High | Events, cards, dice, independent events |
For JEE preparation, students should solve MCQs in three levels:
| Level | Type of MCQs | Best For |
| Level 1 | Direct formula and definition questions | NCERT revision |
| Level 2 | Application-based questions | School exams and foundation |
| Level 3 | Multi-concept questions | JEE Main and Advanced preparation |
Students should not solve Maths MCQs randomly. A planned approach improves accuracy and retention.
Before solving MCQs, revise important formulas from the chapter. For example, before solving Trigonometry MCQs, revise identities, signs, values and transformations.
Solve 10–15 basic questions to check whether the concept is clear. These questions should be direct and formula-based.
After basic questions, solve medium-level MCQs that require two or more steps. These questions help students prepare for school exams and JEE foundation.
Use a timer while solving MCQs. This helps improve speed, accuracy and exam temperament.
Write every wrong question in an error notebook. Add the correct concept, formula and reason for the mistake.
Do not ignore wrong answers. Re-solve them after 48 hours to check whether the concept is now clear.
After completing 3–4 chapters, take a mixed Class 11 Maths MCQ test. Mixed tests help students revise multiple topics together and prepare for competitive exams.
Many students lose marks in MCQs because of small errors, not because they do not know the concept. Avoid these common mistakes:
The best way to reduce mistakes is to revise formulas daily, solve timed MCQs and maintain an error notebook.
MCQs help students revise formulas, definitions and important concepts in less time. This is useful before school exams, coaching tests and JEE practice tests.
Objective-type exams require quick thinking. Regular MCQ practice improves calculation speed, accuracy and confidence.
Chapter-wise MCQs help students understand which chapters are strong and which need more practice.
Class 11 Maths is the base for JEE. Solving MCQs from Trigonometry, Complex Numbers, P&C, Coordinate Geometry, Limits and Probability helps students prepare early.
Reading notes is passive revision. Solving MCQs is active revision because students test whether they can apply the concept.
When students solve MCQs regularly, they become more comfortable with objective questions and timed tests.
Wrong answers show exactly where improvement is needed. This makes MCQ practice useful for self-assessment.
Students preparing for JEE should follow a weekly MCQ practice routine.
| Day | Practice Task |
| Monday | Revise formulas and solve 20 MCQs from one chapter |
| Tuesday | Solve 20 medium-level MCQs from the same chapter |
| Wednesday | Revise wrong answers and solve 10 JEE foundation questions |
| Thursday | Start a new chapter and solve basic MCQs |
| Friday | Solve application-based MCQs |
| Saturday | Take a chapter-wise online test |
| Sunday | Take a mixed revision test and update error notebook |
For best results, students should track three things after every test:
Students should use the PDF and online test together. The PDF is useful for revision and offline practice, while the online test is useful for performance tracking.
| Resource | Best Use |
| MCQ PDF | Revision, offline practice, formula-based questions |
| Online Test | Speed, accuracy, score analysis, weak-topic tracking |
| Formula Sheet | Quick revision before MCQ practice |
| Error Notebook | Re-solving wrong questions |
| Chapter Test | Checking chapter mastery |
| Mixed Test | Preparing for exam-like conditions |
A student should first revise formulas, then solve MCQs from the PDF, then attempt an online test and finally analyse mistakes.
Class 11 Maths MCQs are useful for quick revision, concept clarity, school exam preparation and JEE foundation. Students should practise chapter-wise MCQs with answers and solutions, take online tests regularly and revise mistakes from an error notebook.
Start with basic MCQs, then move to application-based questions and finally attempt JEE foundation-level MCQs. For better preparation, use the Class 11 Maths MCQ PDF, formula sheet, online tests and chapter-wise practice plan together.
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Class 11 Maths MCQs are multiple-choice questions based on Class 11 Mathematics chapters. Each question has four options and one correct answer. These questions help students revise concepts and prepare for objective-type exams.
Students can practise Class 11 Maths MCQs with answers chapter-wise on Infinity Learn website and app. Each chapter includes objective questions, answer keys, solutions, difficulty levels and JEE foundation practice.
Yes, Class 11 Maths MCQs are useful for JEE because they help students revise formulas, improve speed, strengthen concepts and practise objective-type questions from important chapters like Trigonometry, Complex Numbers, Coordinate Geometry, Limits and Probability.
Yes, students can download the Class 11 Maths MCQ PDF for chapter-wise revision. The PDF should include MCQs with answers, detailed solutions, important formulas, difficulty levels and JEE foundation questions.
The most important Class 11 Maths chapters for JEE are Trigonometric Functions, Complex Numbers, Quadratic Equations, Permutations and Combinations, Binomial Theorem, Sequence and Series, Straight Lines, Conic Sections, Limits and Derivatives, and Probability.
NCERT MCQs are good for concept clarity, but JEE preparation needs additional application-based and multi-concept MCQs. Students should practise NCERT-level, foundation-level and JEE-level questions.
A Class 11 student can start with 15–20 Maths MCQs daily from one chapter. JEE aspirants can gradually increase this to 30–40 MCQs daily after building accuracy.
Students should first solve chapter-wise MCQs to build concepts. After completing 3–4 chapters, they should attempt mixed MCQ tests to improve retention and exam readiness.
To improve speed, revise formulas daily, practise timed tests, avoid lengthy methods and analyse wrong answers after every test.
Students can start with Sets, Relations and Functions, Trigonometric Functions and Quadratic Equations. JEE aspirants should give extra attention to Trigonometry, Complex Numbers, P&C, Coordinate Geometry and Limits.
Yes, Class 11 Maths MCQs are helpful for school exams because they revise formulas, definitions and concepts quickly. They are also useful for unit tests and objective-type assessments.
The best method is to revise formulas first, solve chapter-wise MCQs, check answers, understand solutions and reattempt wrong questions after 48 hours.