Mathematical Methods — Class 11 MCQs with Answers
Class 11 CBSE Physics · Chapter 301
40 practice questions · 20 Easy · 20 Medium · Updated
Practise the most important Class 11 CBSE Physics questions from Chapter 301, "Mathematical Methods". You get 4 timed quizzes made from 40 NCERT-based MCQs, with answers and explanations. The questions are split into 20 Easy and 20 Medium. Warm up on the basics, then move on to the exam-level questions that set top scorers in CBSE & Maharashtra HSC Board exams, JEE Main, MHT-CET, JEE Advanced and NEET UG apart.
To score well in "Mathematical Methods", focus on numericals, derivations and applying concepts. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This trains you to stay accurate under time pressure, as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Mathematical Methods, then move to Medium to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 11 Physics mastery score. 6 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Key concepts: Mathematical Methods (Class 11 Physics)
This chapter builds the mathematical toolkit that runs through all of Std 11 physics. It separates scalars from vectors, shows how vectors are represented and combined by the triangle, parallelogram and polygon laws, and how they are resolved into rectangular components using unit vectors î, ĵ and k̂. It introduces the scalar (dot) and vector (cross) products, and gives a first taste of calculus — the derivative as a rate of change and integration as area or anti-derivative — closing with relative velocity as a vector application.
- Scalars and vectors
- A scalar has only magnitude (mass, speed, temperature), while a vector has both magnitude and direction (displacement, velocity, force) and obeys the laws of vector addition.
- Representation of a vector
- A vector is drawn as an arrow whose length (to a chosen scale) gives its magnitude and whose arrowhead gives its direction; in symbols it is written with a bar or arrow over the letter.
- Triangle law of addition
- If two vectors are the two sides of a triangle taken in the same order, their resultant is the third side taken in the opposite order, joining the start of the first to the end of the second.
- Parallelogram law
- If two vectors from a common point form the adjacent sides of a parallelogram, the resultant is the diagonal drawn from that same common point, useful for forces acting together.
Mathematical Methods — important questions & MCQs with answers (Class 11 Physics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 34 are timed and scored when you sign in.
- Q1Easy
Which one of the following is a scalar quantity?
A.DisplacementB.VelocityC.Mass✓ CorrectD.ForceAnswer: C. Mass
Explanation: A scalar has magnitude only. Mass is specified by a single number with a unit, while displacement, velocity and force also need a direction, so they are vectors.
- Q2Easy
By the triangle law of vector addition, if two vectors are represented by the two sides of a triangle taken in the same order, their resultant is represented by
A.the third side taken in the opposite order✓ CorrectB.the third side taken in the same orderC.either of the first two sidesD.the perimeter of the triangleAnswer: A. the third side taken in the opposite order
Explanation: The resultant is the closing (third) side of the triangle, but taken in the opposite (reverse) order to the two added vectors, so it runs from the tail of the first to the head of the second.
- Q3Easy
A vector of magnitude A makes an angle θ with the x-axis. Its horizontal (x) component is
A.A cosθ✓ CorrectB.A sinθC.A tanθD.A / cosθAnswer: A. A cosθ
Explanation: Resolving the vector along the axes, the component adjacent to the angle θ is Ax = A cosθ.
- Q4Medium
Two vectors of magnitudes 3 units and 4 units act at right angles to each other. The magnitude of their resultant is
A.1 unitB.7 unitsC.12 unitsD.5 units✓ CorrectAnswer: D. 5 units
Explanation: For perpendicular vectors R = √(3² + 4²) = √(9 + 16) = √25 = 5 units.
- Q5Medium
A vector of magnitude 10 units makes an angle of 30° with the horizontal. Its horizontal component is
A.5√3 units (≈ 8.66)✓ CorrectB.5 unitsC.10 unitsD.5√2 unitsAnswer: A. 5√3 units (≈ 8.66)
Explanation: Ax = A cosθ = 10 cos30° = 10 × (√3/2) = 5√3 ≈ 8.66 units.
- Q6Medium
If A = 2î + 3ĵ and B = î − ĵ, then A · B equals
A.−1✓ CorrectB.5C.1D.6Answer: A. −1
Explanation: A·B = (2)(1) + (3)(−1) = 2 − 3 = −1, using î·î = ĵ·ĵ = 1 and î·ĵ = 0.
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Start this chapter free →Mathematical Methods — FAQs
What are the key concepts in Class 11 Physics Mathematical Methods?+
This chapter builds the mathematical toolkit that runs through all of Std 11 physics. It separates scalars from vectors, shows how vectors are represented and combined by the triangle, parallelogram and polygon laws, and how they are resolved into rectangular components using unit vectors î, ĵ and k̂. It introduces the scalar (dot) and vector (cross) products, and gives a first taste of calculus — the derivative as a rate of change and integration as area or anti-derivative — closing with relative velocity as a vector application. Key ideas include Scalars and vectors, Representation of a vector, Triangle law of addition, Parallelogram law.
What does Class 11 Physics Chapter 301 (Mathematical Methods) cover on XamBaaz?+
It has 40 NCERT-based MCQs on "Mathematical Methods": 20 Easy and 20 Medium. Together they make 4 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE & Maharashtra HSC Board exams, JEE Main, MHT-CET, JEE Advanced and NEET UG.
Are these "Mathematical Methods" questions free to practise?+
Yes. Sign in with Google to practise "Mathematical Methods" free. Full unlimited access is ₹999/year on a launch offer until 1 December 2026. No chapter is charged separately.
How should I revise "Mathematical Methods" for the exam?+
Start with the Easy quiz to check your basics, then try Medium to practise applying them. There are 4 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Mathematical Methods" MCQs available with answers?+
Yes. 6 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Mathematical Methods" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip, the same negative marking as JEE Main, JEE Advanced and NEET UG. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Mathematical Methods (Class 11 Physics)?+
The questions that matter most test Scalars and vectors, Representation of a vector, Triangle law of addition, Parallelogram law. This page shows 6 solved important MCQs with answers and explanations; all 40 questions on the chapter are available as timed quizzes once you sign in.
Is there an online quiz for Mathematical Methods?+
Yes — Class 11 Physics Mathematical Methods has timed online quizzes at Easy and Medium levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.