OP Malhotra Solutions for Class 11 Mathematics: Chapter-Wise, Free

Loading educational resources and study material...

Here are free ISC Solutions for Class 11 Mathematics, updated for 2026-27. Written by expert teachers, these step-by-step answers help you understand the topic and do well in your 2026 tests.

What Makes These Class 11 Mathematics Solutions Useful

  • Written for exams: answers are shaped to help you score well in 2026 exams, following the official marking style.
  • Nothing skipped: all chapter-end questions are solved here, start to finish.
  • Matches the syllabus: solved as per the latest 2026-27 ISC textbook, for Class 11 Mathematics.
  • Simple steps: even tricky Mathematics problems are explained in a way that's easy to follow.

Class 11 Mathematics Solutions, Chapter by Chapter (2026-27)

Choose a chapter below to see the complete ISC solutions for Class 11 Mathematics. Start with any chapter you like to begin your 2026 exam prep.

Class 11 ISC Mathematics (OP Malhotra / S.Chand) - Chapter Framework

Rigorous higher-secondary mathematical architecture aligned with the ISC curriculum, establishing foundational fluency in sets, relations, calculus limits, and complex numbers.

Sets, Relations & FunctionsModule 1
Set operations, Venn diagram laws, Cartesian products, domain/range of real-valued functions, and trigonometric identity transformations.
Algebra & Complex NumbersModule 2
Mathematical induction proofs, complex numbers in polar forms, quadratic equations, linear inequations, permutations, combinations, and binomial theorem.
Coordinate Geometry & CalculusModule 3
Straight lines, conic sections (circles, parabolas, ellipses, hyperbolas), 3D space coordinates, limits, and introductory derivatives of functions.
Advanced ISC Problem Sets (HOTS)High Yield
Statistics (variance, standard deviation), probability distributions, and rigorous multi-step problem sets structured for ISC board success.
Chapter 01 Sets
Chapter 01 Sets ISC Solutions Chapter Test
Chapter 01 Sets ISC Solutions Exercise 1 (A)
Chapter 01 Sets ISC Solutions Exercise 1 (B)
Chapter 01 Sets ISC Solutions Exercise 1 (C)
Chapter 01 Sets ISC Solutions Exercise 1 (D)
Chapter 02 Relations and Functions
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (A)
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (B)
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (C)
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (D)
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (E)
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (F)
Chapter 02 Relations and Functions ISC Solutions Exercise 2 (G)
Chapter 03 Angles and Arc Lengths
Chapter 03 Angles and Arc Lengths ISC Solutions Chapter Test
Chapter 03 Angles and Arc Lengths ISC Solutions Exercise 3
Chapter 04 Trigonometrical Functions
Chapter 04 Trigonometrical Functions ISC Solutions Chapter Test
Chapter 04 Trigonometrical Functions ISC Solutions Exercise 4 (A)
Chapter 04 Trigonometrical Functions ISC Solutions Exercise 4 (B)
Chapter 04 Trigonometrical Functions ISC Solutions Exercise 4 (C)
Chapter 04 Trigonometrical Functions ISC Solutions Exercise 4 (D)
Chapter 05 Compound and Multiple Angles
Chapter 05 Compound and Multiple Angles ISC Solutions Chapter Test
Chapter 05 Compound and Multiple Angles ISC Solutions Exercise 5 (A)
Chapter 05 Compound and Multiple Angles ISC Solutions Exercise 5 (B)
Chapter 05 Compound and Multiple Angles ISC Solutions Exercise 5 (C)
Chapter 05 Compound and Multiple Angles ISC Solutions Exercise 5 (D)
Chapter 06 Trigonometric Equations
Chapter 06 Trigonometric Equations ISC Solutions Chapter Test
Chapter 06 Trigonometric Equations ISC Solutions Exercise 6
Chapter 07 Properties of Triangle
Chapter 07 Properties of Triangle ISC Solutions Exercise 7
Chapter 08 Mathematical Induction
Chapter 08 Mathematical Induction ISC Solutions Exercise 8 (A)
Chapter 08 Mathematical Induction ISC Solutions Exercise 8 (B)
Chapter 09 Complex Numbers
Chapter 09 Complex Numbers ISC Solutions Chapter Test
Chapter 09 Complex Numbers ISC Solutions Exercise 9 (A)
Chapter 09 Complex Numbers ISC Solutions Exercise 9 (B)
Chapter 09 Complex Numbers ISC Solutions Exercise 9 (C)
Chapter 09 Complex Numbers ISC Solutions Exercise 9 (D)
Chapter 09 Complex Numbers ISC Solutions Exercise 9 (E)
Chapter 09 Complex Numbers ISC Solutions Exercise 9 (F)
Chapter 10 Quadratic Equations
Chapter 10 Quadratic Equations ISC Solutions Chapter Test
Chapter 10 Quadratic Equations ISC Solutions Exercise 10 (A)
Chapter 10 Quadratic Equations ISC Solutions Exercise 10 (B)
Chapter 10 Quadratic Equations ISC Solutions Exercise 10 (C)
Chapter 10 Quadratic Equations ISC Solutions Exercise 10 (D)
Chapter 10 Quadratic Equations ISC Solutions Exercise 10 (E)
Chapter 10 Quadratic Equations ISC Solutions Exercise 10 (F)
Chapter 11 Inequalities
Chapter 11 Inequalities ISC Solutions Chapter Test
Chapter 11 Inequalities ISC Solutions Exercise 11 (A)
Chapter 11 Inequalities ISC Solutions Exercise 11 (B)
Chapter 11 Inequalities ISC Solutions Exercise 11 (C)
Chapter 12 Permutations and Combinations
Chapter 12 Permutations and Combinations ISC Solutions Chapter Test
Chapter 12 Permutations and Combinations ISC Solutions Exercise 12 (A)
Chapter 12 Permutations and Combinations ISC Solutions Exercise 12 (B)
Chapter 12 Permutations and Combinations ISC Solutions Exercise 12 (C)
Chapter 12 Permutations and Combinations ISC Solutions Exercise 12 (D)
Chapter 12 Permutations and Combinations ISC Solutions Exercise 12 (E)
Chapter 13 Binomial Theorem
Chapter 13 Binomial Theorem ISC Solutions Chapter Test
Chapter 13 Binomial Theorem ISC Solutions Exercise 13 (A)
Chapter 13 Binomial Theorem ISC Solutions Exercise 13 (B)
Chapter 14 Sequence and Series
Chapter 14 Sequence and Series ISC Solutions Chapter Test
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (A)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (B)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (C)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (D)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (E)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (F)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (G)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (H)
Chapter 14 Sequence and Series ISC Solutions Exercise 14 (I)
Chapter 15 Basic Concepts of Points and their Coordinates
Chapter 15 Basic Concepts of Points and their Coordinates ISC Solutions Exercise 15 (A)
Chapter 15 Basic Concepts of Points and their Coordinates ISC Solutions Exercise 15 (B)
Chapter 15 Basic Concepts of Points and their Coordinates ISC Solutions Exercise 15 (C)
Chapter 16 The Straight Line
Chapter 16 The Straight Line ISC Solutions Chapter Test
Chapter 16 The Straight Line ISC Solutions Chapter Test
Chapter 16 The Straight Line ISC Solutions Exercise 16 (A)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (B)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (C)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (D)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (E)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (F)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (G)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (H)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (I)
Chapter 16 The Straight Line ISC Solutions Exercise 16 (J)
Chapter 17 Circle
Chapter 17 Circle ISC Solutions Chapter Test
Chapter 17 Circle ISC Solutions Exercise 17 (A)
Chapter 17 Circle ISC Solutions Exercise 17 (B)
Chapter 17 Circle ISC Solutions Exercise 17 (C)
Chapter 17 Circle ISC Solutions Exercise 17 (D)
Chapter 18 Limits
Chapter 18 Limits ISC Solutions Chapter Test
Chapter 18 Limits ISC Solutions Exercise 18 (A)
Chapter 18 Limits ISC Solutions Exercise 18 (B)
Chapter 18 Limits ISC Solutions Exercise 18 (C)
Chapter 18 Limits ISC Solutions Exercise 18 (D)
Chapter 18 Limits ISC Solutions Exercise 18 (E)
Chapter 18 Limits ISC Solutions Exercise 18 (F)
Chapter 18 Limits ISC Solutions Exercise 18 (G)
Chapter 18 Limits ISC Solutions Exercise 18 (H)
Chapter 18 Limits ISC Solutions Exercise 18 (I)
Chapter 18 Limits ISC Solutions Exercise 18 (J)
Chapter 19 Differentiation
Chapter 19 Differentiation ISC Solutions Chapter Test
Chapter 19 Differentiation ISC Solutions Exercise 19 (A)
Chapter 19 Differentiation ISC Solutions Exercise 19 (B)
Chapter 19 Differentiation ISC Solutions Exercise 19 (C)
Chapter 19 Differentiation ISC Solutions Exercise 19 (D)
Chapter 20 Measures of Central Tendency
Chapter 20 Measures of Central Tendency ISC Solutions Chapter Test
Chapter 20 Measures of Central Tendency ISC Solutions Exercise 20 (A)
Chapter 21 Measures of Dispersion
Chapter 21 Measures of Dispersion ISC Solutions Chapter Test
Chapter 21 Measures of Dispersion ISC Solutions Exercise 21 (A)
Chapter 21 Measures of Dispersion ISC Solutions Exercise 21b
Chapter 22 Probability
Chapter 22 Probability ISC Solutions Chapter Test
Chapter 22 Probability ISC Solutions Exercise 22 (A)
Chapter 22 Probability ISC Solutions Exercise 22 (B)
Chapter 22 Probability ISC Solutions Exercise 22 (C)
Chapter 22 Probability ISC Solutions Exercise 22 (D)
Chapter 22 Probability ISC Solutions Exercise 22 (E)
Chapter 22 Probability ISC Solutions Exercise 22 (F)
Chapter 23 Parabola
Chapter 23 Parabola ISC Solutions Chapter Test
Chapter 23 Parabola ISC Solutions Exercise 23
Chapter 24 Ellipse
Chapter 24 Ellipse ISC Solutions Chapter Test
Chapter 24 Ellipse ISC Solutions Exercise 24
Chapter 25 Hyperbola
Chapter 25 Hyperbola ISC Solutions Chapter Test
Chapter 25 Hyperbola ISC Solutions Exercise 25 (A)
Chapter 25 Hyperbola ISC Solutions Exercise 25 (B)
Chapter 26 Points and their Coordinates in 3 Dimensions
Chapter 26 Points and their Coordinates in 3 Dimensions ISC Solutions Exercise 26 (A)
Chapter 26 Points and their Coordinates in 3 Dimensions ISC Solutions Exercise 26 (B)
Chapter 26 Points and their Coordinates in 3 Dimensions ISC Solutions Exercise 26 (C)
Chapter 27 Mathematical Reasoning
Chapter 27 Mathematical Reasoning ISC Solutions Chapter Test
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (A)
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (B)
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (C)
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (D)
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (E)
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (F)
Chapter 27 Mathematical Reasoning ISC Solutions Exercise 27 (G)
Chapter 28 Statistics
Chapter 28 Statistics ISC Solutions Chapter Test
Chapter 28 Statistics ISC Solutions Exercise 28 (A)
Chapter 28 Statistics ISC Solutions Exercise 28 (B)
Chapter 28 Statistics ISC Solutions Exercise 28 (C)
Chapter 28 Statistics ISC Solutions Exercise 28 (D)
Chapter 29 Correlation Analysis
Chapter 29 Correlation Analysis ISC Solutions Chapter Test
Chapter 29 Correlation Analysis ISC Solutions Exercise 29 (A)
Chapter 29 Correlation Analysis ISC Solutions Exercise 29 (B)
Chapter 30 Index Numbers
Chapter 30 Index Numbers ISC Solutions Chapter Test
Chapter 30 Index Numbers ISC Solutions Exercise 30 (A)
Chapter 30 Index Numbers ISC Solutions Exercise 30 (B)
Chapter 31 Moving Average
Chapter 31 Moving Average ISC Solutions Chapter Test
Chapter 31 Moving Average ISC Solutions Exercise 31

Free study material for Mathematics

Class 11 Mathematics Solutions by Chapter - ISC (2026-27)

Official curriculum-aligned solution sets for ISC Class 11 Mathematics structured for the 2026-27 academic cycle. Providing verified explanations for textbook problems enables learners to reinforce theoretical principles and master formal problem-solving methodologies.

What's Included in These Mathematics Solutions

Curriculum-matched solution frameworks provide authoritative guidance for mastering complex textbook exercises, ensuring complete preparation for formal academic evaluations throughout the 2026-27 term.

Utilizing official solution sets enables students to:

  • Verifying computational and theoretical accuracy following independent exercise completion.
  • Mastering proper step-by-step derivations and structured answer presentation.
  • Reinforcing core competencies ahead of official ISC class evaluations and examinations.

Download ISC Class 11 Mathematics Solutions (PDF)

Digital editions of verified textbook solutions are provided free of charge, enabling students to review complex problem sets offline at any time while maintaining a structured preparation workflow.

Explore More Mathematics Resources for Class 11

Complement your textbook review by exploring our comprehensive repository of solved sample papers, previous year examination archives, printable worksheets, and revision notes tailored for ISC Class 11 Mathematics.

📐 Strategic Insights for Class 11 ISC Mathematics Excellence

Class 11 serves as the crucial bridge into advanced mathematical analysis for ISC students. OP Malhotra's textbook offers a comprehensive, high-difficulty problem set that builds deep conceptual clarity across abstract algebra, coordinate geometry, and the fundamentals of calculus.

Key Focus Areas for Higher-Secondary Aspirants:

  • Rigorous Algebraic Proofs: Mastering mathematical induction and binomial theorem expansions without computational errors.
  • Conic Section Visualization: Deriving standard equations and geometric properties for parabolas, ellipses, and hyperbolas.
  • Calculus Foundation: Grasping limit evaluations and derivative principles cleanly to prepare for Class 12 board topics.

Recommended Revision Methodology:

  1. Master Textbook Illustrations: Review solved examples thoroughly before attempting difficult exercise questions independently.
  2. Audit with Detailed Solutions: Use chapter-wise solution sets to cross-verify your working steps and uncover alternative proof techniques.
  3. Maintain Formula Compilations: Keep trigonometric identities, conic equations, and permutation formulas organized for regular review.

FAQs

How can I download the latest ISC solutions for Class 11 in PDF?

You can download chapter-wise ISC solutions for all Class 11 subjects for free from StudiesToday. All files are provided in high-quality, mobile-friendly PDF formats for easy offline viewing

Are these Class 11 solutions based on the rationalized syllabus for 2026-27?

Yes, all solutions for Class 11 are strictly aligned with the latest rationalized ISC syllabus. Deleted chapters have been removed, and answers for new question patterns have been updated for the current academic session.

Do the Class 11 solutions include step-by-step explanations?

Yes, our subject teachers provide detailed, step-by-step solutions for textbook exercises. This includes comprehensive answers for theoretical questions, solved numericals, and labeled diagrams wherever applicable.

How does practicing ISC textbook solutions help in exams?

Most ISC school tests and board exam questions are drawn directly from official textbook exercises. Practicing these solutions helps Class 11 students understand the marking scheme and structure clear, high-scoring answers.

Is it completely free to access Class 11 solutions on StudiesToday?

Yes, access to all ISC solutions, practice worksheets, and revision notes for Class 11 is 100% free. Students and teachers can view or download any chapter without registration or hidden fees.

Are ISC solutions available in both English and Hindi medium?

Yes, to assist students across different mediums, we provide Class 11 ISC solutions in multiple languages, including English Medium and Hindi Medium (हिंदी माध्यम).