Class 11 Maths MCQ Question with Answers

Class 11 Maths MCQs (Multiple Choice Questions) with answers are available here free of cost for students. These MCQs cover all chapters of Class 11 Mathematics and include detailed explanations for better understanding. Designed according to the latest CBSE syllabus and exam pattern (2025–2026), these practice questions help students learn the right approach to solving problems and improve their exam scores.

MCQs for Class 11 Maths Subject-wise

Chapter-Wise MCQs for Class 11 Maths – Question with Answer

1. Sets and Functions

1. The number of subsets of a set containing 5 elements is:
   a) 10
   b) 25
   c) 32
   d) 64
   Answer: c) 32
2. If A = {1, 2, 3}, then A × A has:
   a) 6 elements
   b) 9 elements
   c) 12 elements
   d) 3 elements
   Answer: b) 9
3. The domain of f(x) = √(x – 3) is:
   a) x ≥ 3
   b) x ≤ 3
   c) x > 0
   d) All real numbers
   Answer: a) x ≥ 3
4. The range of sin x is:
   a) (–∞, ∞)
   b) [–1, 1]
   c) [0, 1]
   d) (–1, 1)
   Answer: b) [–1, 1]
5. The value of cos(90° – θ) is:
   a) sin θ
   b) cos θ
   c) tan θ
   d) cot θ
   Answer: a) sin θ

2. Algebra

6. The sum of the roots of ax² + bx + c = 0 is:
   a) b/a
   b) –b/a
   c) –c/a
   d) c/a
   Answer: b) –b/a
7. The value of i² (where i = √–1) is:
   a) –1
   b) 1
   c) 0
   d) i
   Answer: a) –1
8. If 5x – 3 ≥ 7, then x ≥ ?
   a) 1
   b) 2
   c) 3
   d) 4
   Answer: b) 2
9. The number of permutations of 5 objects taken 3 at a time is:
   a) 10
   b) 15
   c) 60
   d) 120
   Answer: c) 60
10. The coefficient of x³ in (1 + x)⁶ is:
    a) 6
    b) 10
    c) 20
    d) 15
    Answer: c) 20
11. The nth term of an AP is given by:
    a) a + n – 1
    b) a + (n – 1)d
    c) nd
    d) an
    Answer: b) a + (n – 1)d
12. The sum of the first n terms of a GP is:
    a) a(1 – rⁿ)/(1 – r)
    b) arⁿ
    c) an²
    d) (a + l)n/2
    Answer: a) a(1 – rⁿ)/(1 – r)

3. Coordinate Geometry

13. The slope of the line 2x + 3y – 5 = 0 is:
    a) –2/3
    b) –3/2
    c) 2/3
    d) 3/2
    Answer: a) –2/3
14. Distance between (1, 2) and (4, 6) is:
    a) 5
    b) √20
    c) 3
    d) 7
    Answer: a) 5
15. The equation of a line parallel to x-axis and passing through (2, 3) is:
    a) y = 3
    b) x = 2
    c) x + y = 5
    d) y = x
    Answer: a) y = 3
16. The eccentricity of a circle is:
    a) 0
    b) 1
    c) > 1
    d) < 0
    Answer: a) 0
17. The equation of x² + y² = 25 represents:
    a) Ellipse
    b) Circle
    c) Hyperbola
    d) Straight line
    Answer: b) Circle
18. The coordinates of centroid of triangle with vertices (0,0), (6,0), (0,6) is:
    a) (2,2)
    b) (3,3)
    c) (1,1)
    d) (6,6)
    Answer: a) (2,2)

4. Calculus

19. The limit lim(x→0) (sin x / x) =
    a) 0
    b) 1
    c) ∞
    d) –1
    Answer: b) 1
20. d/dx (x²) = ?
    a) 2x
    b) x
    c) x²
    d) 0
    Answer: a) 2x
21. The derivative of sin x is:
    a) cos x
    b) –cos x
    c) –sin x
    d) 1
    Answer: a) cos x
22. The derivative of ln x is:
    a) x
    b) 1/x
    c) ln x
    d) –1/x
    Answer: b) 1/x
23. If y = e^x, then dy/dx =
    a) 0
    b) 1
    c) e^x
    d) x
    Answer: c) e^x

5. Mathematical Reasoning

24. The contrapositive of “If it rains, then the ground is wet” is:
    a) If it rains, then ground is not wet
    b) If ground is not wet, then it does not rain
    c) If ground is wet, then it rains
    d) None
    Answer: b) If ground is not wet, then it does not rain
25. The negation of “All students are hardworking” is:
    a) Some students are not hardworking
    b) No student is hardworking
    c) All students are lazy
    d) Some students are lazy
    Answer: a) Some students are not hardworking

6. Statistics & Probability

26. Mean of 2, 4, 6, 8, 10 is:
    a) 5
    b) 6
    c) 7
    d) 8
    Answer: b) 6
27. Median of 3, 7, 9, 10, 12 is:
    a) 9
    b) 7
    c) 10
    d) 8
    Answer: a) 9
28. If P(A) = 0.5 and P(B) = 0.3 and A, B are independent, then P(A ∩ B) =
    a) 0.15
    b) 0.8
    c) 0.2
    d) 0.5
    Answer: a) 0.15
29. The probability of getting an even number on a die is:
    a) 1/6
    b) 1/3
    c) 1/2
    d) 2/3
    Answer: c) 1/2
30. The probability of getting head when a coin is tossed is:
    a) 0
    b) 1/2
    c) 1
    d) 2
    Answer: b) 1/2

Mixed Practice

31. The sum of first 20 natural numbers is:
    a) 190
    b) 200
    c) 210
    d) 220
    Answer: c) 210
32. If A = {1, 2}, B = {a, b}, then number of relations from A to B =
    a) 2
    b) 4
    c) 8
    d) 16
    Answer: d) 16
33. tan²θ + 1 = ?
    a) sec²θ
    b) cosec²θ
    c) cos²θ
    d) sin²θ
    Answer: a) sec²θ
34. If log 2 = 0.3010, then log 200 =
    a) 2.3010
    b) 3.3010
    c) 1.3010
    d) 4.3010
    Answer: a) 2.3010
35. The 10th term of AP: 3, 7, 11, … is:
    a) 35
    b) 39
    c) 43
    d) 47
    Answer: b) 39
36. The 5th term of GP: 2, 4, 8, … is:
    a) 16
    b) 32
    c) 64
    d) 128
    Answer: b) 32
37. The point (0, 5) lies on:
    a) y-axis
    b) x-axis
    c) both axes
    d) none
    Answer: a) y-axis
38. The eccentricity of a parabola is:
    a) 0
    b) 1
    c) >1
    d) <1
    Answer: b) 1
39. lim(x→∞) (1 + 1/x)^x =
    a) 1
    b) 0
    c) e
    d) ∞
    Answer: c) e
40. d/dx (cos x) = ?
    a) sin x
    b) –sin x
    c) cos x
    d) –cos x
    Answer: b) –sin x
41. Which of the following is a tautology?
    a) p ∨ ¬p
    b) p ∧ ¬p
    c) p → q
    d) None
    Answer: a) p ∨ ¬p
42. If mean = 20 and sum of observations = 200, number of observations =
    a) 5
    b) 10
    c) 20
    d) 25
    Answer: b) 10
43. The probability of drawing a red card from a pack of 52 cards is:
    a) 1/2
    b) 1/4
    c) 1/13
    d) 1/26
    Answer: a) 1/2
44. The sum of first n natural numbers is:
    a) n(n + 1)/2
    b) n²
    c) n(n – 1)/2
    d) n³
    Answer: a) n(n + 1)/2
45. The sum of infinite GP with first term a and common ratio r (|r| < 1) is:
    a) a/(1 – r)
    b) ar
    c) a/(r – 1)
    d) None
    Answer: a) a/(1 – r)

Benefits of Solving Class 11 Maths MCQs

1. Quick Concept Revision: MCQs cover all chapters in a compact way. By practicing them, students can quickly revise formulas, theorems, and key concepts without going through lengthy notes.

2. Enhances Problem-Solving Speed: Since MCQs are timed in most exams, solving them regularly helps students improve calculation speed, accuracy, and decision-making skills.

3. Identifies Strong & Weak Areas: MCQs are topic-specific. Attempting them allows students to know which chapters they are strong in (e.g., Algebra, Calculus) and which need more revision (e.g., Probability, Trigonometry).

4. Prepares for Competitive Exams: Class 11 MCQs align with the pattern of JEE, NEET, NDA, and Olympiads, where quick objective-type answers are required. Regular practice gives students an early edge in competitive exam preparation.

5. Boosts Exam Confidence: When students answer MCQs correctly, it builds confidence. Even mistakes are useful—they show where to focus more before final exams.

6. Improves Logical & Analytical Thinking: Many Class 11 MCQs are application-based, not direct. Solving them sharpens reasoning ability, logical thinking, and application of concepts in different scenarios.

7. Saves Revision Time Before Exams: MCQ practice is a time-efficient revision tool. Instead of re-reading entire chapters, students can quickly test themselves with MCQs and cover the syllabus faster.