Here are chapter-wise MCQs for CBSE Class 11 Mathematics, ready for 2026-27. They're built to help Class 11 students understand the current exam pattern in Mathematics, and improve how they solve problems.
How Mathematics MCQs Help Class 11 Students
- Every Mathematics MCQ comes with a correct, explained answer - not just the right option.
- Strictly based on the 2026 CBSE Mathematics textbook, and guidelines issued by CBSE.
- Includes Class 11 Assertion-Reasoning, Case-based, and Fill-in-the-blanks formats, all built for Mathematics.
- Organized sets that test your understanding of every important Mathematics topic, chapter by chapter.
Class 11 Mathematics Chapter-wise MCQ Question Bank
Check out the newest 2026-27 Mathematics question sets below. They're great for self-checking, and for finding out which topics need more work before exams.
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Quick Practice - Try a Few Questions First Pick a chapter below, answer a few questions instantly, then jump to the full set list for more. Q1.The set of all rational and irrational numbers together is called the set of: Answer: (b) Real numbers. The set of rational and irrational numbers together forms the set of real numbers, denoted by R.
Q2.If A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B equals: A ∩ B contains only the elements common to both sets, which here are 2 and 3. That makes (b) {2, 3} the correct choice.
Q3.The empty set is a subset of: The correct answer is (c) Every set — the empty set is considered a subset of every set, including itself, by definition.
Q4.Which of these is an example of a null set? (a) {x : x is an even prime number greater than 2} is correct. Since 2 is the only even prime number, no even prime greater than 2 exists, making this a null set.
Q5.If n(A) = 5, n(B) = 3, and n(A ∩ B) = 2, then n(A ∪ B) equals: Since n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 5 + 3 − 2 = 6, the answer is (a) 6.
Q1.If A = {1, 2} and B = {3, 4}, the number of elements in A × B is: n(A × B) equals n(A) × n(B), so 2 × 2 = 4. That makes (b) 4 the correct choice.
Q2.A relation R from set A to set B is defined as: The correct answer is (c) A subset of A × B — a relation from A to B is formally defined as any subset of the Cartesian product A × B.
Q3.For a function f: A → B, every element of A must be associated with: (b) Exactly one element of B is correct. This single-value requirement is what distinguishes a function from a general relation.
Q4.The domain of the function f(x) = 1/(x − 2) is: Since the function is undefined when the denominator x − 2 equals zero, i.e. at x = 2, the domain excludes that value. The answer is (b) All real numbers except 2.
Q5.If f(x) = x², then f(−3) equals: Answer: (b) 9. Substituting x = −3 into f(x) = x² gives (−3)² = 9.
Q1.The value of sin 30° is: The correct answer is (a) 1/2 — this is a standard trigonometric ratio that should be memorised directly.
Q2.One radian is approximately equal to: (a) 57.3° is correct. One radian is the angle formed when the arc length equals the radius, which works out to roughly 57.3 degrees.
Q3.The value of cos 90° is: Since the cosine function equals zero wherever the terminal side lies along the y-axis, and 90° is one such point, the answer is (c) 0.
Q4.sin²θ + cos²θ is always equal to: Answer: (b) 1. This is the fundamental Pythagorean trigonometric identity, true for every value of θ.
Q5.The period of the sine function is: The sine function completes one full cycle every 2π radians before repeating. That makes (c) 2π the correct choice.
Q1.The value of i² (where i = √−1) is: (b) −1 is correct. By definition, i is the square root of −1, so squaring it gives −1.
Q2.For a complex number z = a + ib, the term "a" is called the: Since a complex number is written as z = a + ib, the first term a represents the part without i. The answer is (b) Real part.
Q3.The modulus of the complex number 3 + 4i is: Answer: (a) 5. The modulus of a + ib is √(a² + b²), so √(3² + 4²) = √25 = 5.
Q4.The conjugate of the complex number 2 − 3i is: The conjugate of a complex number is formed by reversing the sign of its imaginary part only. That makes (b) 2 + 3i the correct choice.
Q5.The discriminant of a quadratic equation ax² + bx + c = 0 is given by: The correct answer is (a) b² − 4ac — this expression, called the discriminant, determines the nature of the roots of a quadratic equation.
Q1.If x > 5, which of the following values of x is valid? Since 7 is the only listed value greater than 5, the answer is (c) 7.
Q2.When both sides of an inequality are multiplied by a negative number, the inequality sign: Answer: (b) Reverses. Multiplying or dividing both sides of an inequality by a negative number always flips the direction of the inequality sign.
Q3.The solution of 2x + 3 < 9 is: Subtracting 3 from both sides gives 2x < 6, and dividing by 2 gives x < 3. That makes (a) x < 3 the correct choice.
Q4.The graph of a linear inequality in two variables divides the plane into: The correct answer is (b) Two regions — the boundary line of a linear inequality splits the coordinate plane into two half-planes.
Q5.Which symbol represents "greater than or equal to"? (d) ≥ is correct. This symbol combines "greater than" with "equal to" in a single expression.
Q1.The value of 5! is: Answer: (c) 120. 5! means 5 × 4 × 3 × 2 × 1, which equals 120.
Q2.The number of ways to arrange 3 different books on a shelf is: Three distinct items can be arranged in 3! ways, which works out to 6. That makes (b) 6 the correct choice.
Q3.In combinations, the order of selection: The correct answer is (b) Does not matter — in combinations, selecting {A, B} is treated the same as selecting {B, A}, unlike in permutations.
Q4.The formula for ⁿPᵣ is: (a) n!/(n−r)! is correct. This formula counts arrangements where order matters, which is the defining feature of a permutation.
Q5.The value of ⁵C₂ is: Since ⁵C₂ = 5!/(2! × 3!) = 10, the answer is (b) 10.
Q1.The number of terms in the expansion of (x+y)ⁿ is: Expanding (x+y)ⁿ produces one more term than the power itself, since the expansion runs from the 0th power of y up to the nth. That makes (c) n+1 the correct choice.
Q2.The general term in the binomial expansion of (x+y)ⁿ is denoted by: The correct answer is (b) Tᵣ₊₁ — this notation reflects that the general term is the (r+1)th term in the expansion, starting the count from r = 0.
Q3.The sum of the binomial coefficients in the expansion of (1+x)ⁿ is: (b) 2ⁿ is correct. Substituting x = 1 into (1+x)ⁿ shows that the sum of all binomial coefficients equals 2ⁿ.
Q4.The coefficient of xⁿ in (1+x)ⁿ is: Since the term containing xⁿ in (1+x)ⁿ arises only when every factor contributes x, its coefficient is ⁿCⁿ = 1. The answer is (c) 1.
Q5.Pascal's Triangle is used to determine: Answer: (b) Binomial coefficients. Each row of Pascal's Triangle directly gives the coefficients used in expanding (x+y)ⁿ for that power.
Q1.In an arithmetic progression (AP), the difference between consecutive terms is: The correct answer is (b) Always constant — this fixed difference between consecutive terms is exactly what defines an arithmetic progression.
Q2.The nth term of an AP with first term a and common difference d is given by: (b) a + (n−1)d is correct. Each term after the first is reached by adding the common difference d one time fewer than the term number.
Q3.In a geometric progression (GP), each term is obtained by: Since each term in a GP results from multiplying the previous term by a fixed common ratio, the answer is (b) Multiplying the previous term by a fixed ratio.
Q4.The sum of an infinite GP with first term a and common ratio r (|r| < 1) is: Answer: (a) a/(1−r). This formula only applies when the common ratio has an absolute value less than 1, so the terms keep shrinking toward zero.
Q5.The arithmetic mean of 4 and 10 is: The arithmetic mean of two numbers is simply their sum divided by two: (4+10)/2 = 7. That makes (b) 7 the correct choice.
Q1.The slope of a line parallel to the x-axis is: (c) 0 is correct. A line parallel to the x-axis has no vertical rise, so its slope is zero.
Q2.The slope of a line parallel to the y-axis is: Since a line parallel to the y-axis is vertical, the horizontal change used in the slope calculation becomes zero, making the slope undefined. The answer is (c) Undefined.
Q3.The general equation of a straight line is written as: Answer: (b) ax + by + c = 0. This is the standard general form used to represent any straight line in a plane.
Q4.The distance between two points (x₁,y₁) and (x₂,y₂) is given by: The distance formula extends the Pythagorean theorem to coordinate geometry, using the differences in x and y coordinates. That makes (c) √((x₂−x₁)² + (y₂−y₁)²) the correct choice.
Q5.Two lines with slopes m₁ and m₂ are perpendicular if: The correct answer is (b) m₁ × m₂ = −1 — this is the standard condition that confirms two lines meet at a right angle.
Q1.A circle is defined as the set of all points equidistant from a fixed point called the: Since every point on a circle lies at the same fixed distance from one particular point, that reference point is called the answer, (b) Centre.
Q2.The standard equation of a circle with centre at the origin and radius r is: Answer: (b) x² + y² = r². Squaring the radius accounts for the distance formula used to define every point on the circle.
Q3.A parabola is defined with reference to a fixed point called the focus and a fixed line called the: A parabola is shaped by its relationship to both a fixed point and a fixed line, and that line is what keeps the curve balanced. That makes (b) Directrix the correct choice.
Q4.In an ellipse, the sum of distances from any point on the ellipse to the two foci is: The correct answer is (b) Always constant — this constant-sum property with respect to the two foci is the defining feature of an ellipse.
Q5.A hyperbola is obtained when a plane cuts a double cone such that it is: (c) Parallel to the axis, intersecting both nappes is correct. A hyperbola forms specifically when the cutting plane meets both halves (nappes) of the double cone.
Q1.In three-dimensional geometry, the position of a point is given with reference to: Answer: (c) Three mutually perpendicular axes. These are conventionally labelled the x, y and z axes, meeting at a common origin.
Q2.The three coordinate planes in 3D space are: The three coordinate planes are formed by pairing the axes two at a time. That makes (a) XY, YZ, ZX the correct choice.
Q3.The coordinates of the origin in three-dimensional space are: The correct answer is (b) (0,0,0) — the origin is the single point where all three coordinate axes intersect.
Q4.The distance of a point (x,y,z) from the origin is given by: (b) √(x²+y²+z²) is correct. This three-dimensional version of the distance formula extends the same Pythagorean idea used in two dimensions.
Q5.A point lying on the y-axis has coordinates of the form: Since a point on the y-axis has no displacement along the x or z directions, both those coordinates are zero. The answer is (b) (0, y, 0).
Q1.The derivative of a constant function is: A constant function never changes value, so its rate of change at any point is zero. That makes (c) 0 the correct choice.
Q2.The limit of (sin x)/x as x approaches 0 is: The correct answer is (b) 1 — this is one of the most important standard limits used throughout calculus.
Q3.The derivative of xⁿ with respect to x is: (c) nxⁿ⁻¹ is correct. This is the power rule, one of the most frequently used results in differentiation.
Q4.A limit exists at a point if: Since a limit is only said to exist when approaching from either side gives the same value, the answer is (c) Both left-hand and right-hand limits exist and are equal.
Q5.The derivative of a function represents its: Answer: (b) Instantaneous rate of change. The derivative measures how fast a function's output is changing at a single, specific point.
Q1.The measure of central tendency that is most affected by extreme values is: The correct answer is (c) Mean — because it uses every value in its calculation, the mean shifts noticeably whenever an extreme value is added.
Q2.The mean deviation is always calculated about the: (b) Mean, median or mode is correct. Mean deviation can technically be measured about any of these central values, though the mean is most common.
Q3.Variance is defined as the: Since variance is obtained by squaring the standard deviation, the answer is (b) Square of the standard deviation.
Q4.A smaller standard deviation indicates that the data values are: Answer: (b) Closely clustered around the mean. A small standard deviation means most data points lie near the average value.
Q5.The range of a data set is calculated as: The range simply captures the spread between the highest and lowest values in a data set. That makes (b) Maximum value minus minimum value the correct choice.
Q1.The probability of an event that is certain to occur is: (c) 1 is correct. An event that is certain to happen is always assigned a probability of exactly 1.
Q2.If a fair coin is tossed once, the probability of getting heads is: Since a fair coin has two equally likely outcomes and only one of them is heads, the answer is (c) 1/2.
Q3.The sample space when a single fair die is rolled contains: Answer: (b) 6 outcomes. A standard die has six faces, numbered 1 through 6, each equally likely to appear.
Q4.Two events are said to be mutually exclusive if: Mutually exclusive events cannot both happen in a single trial — the occurrence of one automatically rules out the other. That makes (b) They cannot occur at the same time the correct choice.
Q5.The probability of an impossible event is: The correct answer is (c) 0 — an event that can never happen is always assigned a probability of zero.
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| Chapter 1 Sets MCQs Set 01 |
| Chapter 1 Sets MCQs Set 02 |
| Chapter 1 Sets MCQs Set 01 |
| Chapter 1 Sets MCQs Set 02 |
| Chapter 1 Sets MCQs Set 03 |
| Chapter 5 Linear Inequalities MCQs Set 01 |
| Chapter 5 Linear Inequalities MCQs Set 02 |
| Chapter 5 Linear Inequalities MCQs Set 03 |
| Chapter 5 Linear Inequalities MCQs Set 04 |
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FAQs
For the 2026-27 session, MCQs and objective-type questions carry around 20% weightage. CBSE has introduced 30% competency based questions as MCQs and they are important part of the Class 11 Mathematics paper.
You can access the latest chapter-wise MCQs for Class 11 Mathematics for free from StudiesToday.com. All questions are based on the latest syllabus and current academic year.
Yes, our Mathematics practice bank includes the new pattern of Assertion Reasoning and Case Study based MCQs. They have been designed to test the analytical skills of Class 11 students.
Solving Class 11 Mathematics MCQs regularly improves speed and accuracy as these are objective questions can get you 100% marks if your understanding of the topic is clear.
Yes, all Class 11 Mathematics MCQs and answers are accessible on any device at your convenience.
No, all Mathematics Multiple Choice Questions (MCQs), practice papers, and solutions for Class 11 are available for free for students to get more marks school exams.