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Class 11 Commerce Mathematics Quiz

Mathematics MCQ Questions for Class 11

Practice Class 11 Commerce Mathematics MCQ questions with answers, explanations and level-wise revision. Start from Easy levels and move toward Expert practice when your accuracy improves.

Class 11 Commerce Mathematics Summary

Class 11 Commerce Mathematics MCQ questions with answers, chapter wise quiz, topic wise practice, objective questions, exam revision aur answer explanation ke liye ye page banaya gaya hai. Mathematics me formulas, algebra, trigonometry, calculus, geometry, probability aur statistics jaise topics ko level-wise MCQ practice se revise karein.

5+ chapters 10+ topics 14151 active MCQs
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Free MCQ Practice

Class 11 Commerce Mathematics MCQ Questions with Answers

Class 11 Commerce Mathematics ke liye chapter wise MCQ questions, topic wise practice, objective questions, quiz levels, correct answers aur simple explanations ek hi page par available hain. Students board exam revision, school test preparation, daily practice aur concept clarity ke liye yahan se focused practice start kar sakte hain.

Mathematics MCQ Class 11 Commerce Mathematics Questions Chapter Wise Quiz Topic Wise Practice Answers and Explanations Easy to Expert Levels
Chapter Wise MCQ

Mathematics Chapters for Class 11

Choose a Mathematics chapter to practice focused MCQs with topic-wise revision, answers and explanations for Class 11 Commerce. Chapters include Linear Inequalities, Permutations and Combinations, Relations and Functions, Sets. Topics include algebraic solution of linear inequalities in one variable, Graphical solution of linear inequalities in two variables, Introduction to inequalities, representation on number line, Combinations.

4 Sets Mathematics Sets MCQ practice for Class 11 Commerce with topic-wise questions, correct answers and simple explanations. 1Complement of a Set and its properties600 Q 2Equal sets and Subsets591 Q 3Operations on Sets (Union, Intersection, Difference)600 Q 4Power Set and Universal Set588 Q 5Sets and their representations601 Q 6The Empty Set, Finite and Infinite Sets, Equal Sets597 Q 7The Empty Set, many more. Step 3: Hence the set is infinite.1 Q 8Venn Diagrams599 Q Easy 1050 Medium 1050 Hard 1050 Expert 1051 4201 MCQs
Game Journey

Level Map for Mathematics MCQ Practice

Select a ready level to practice questions in a clean exam-style flow. Each level keeps the subject, class, difficulty and question count clear for faster revision.

Easy Medium Hard Expert

Easy Levels

Start
1 Level 1 Ready 50/50 Topics in this level Sets and their representations50 Q 2 Level 2 Ready 50/50 Topics in this level Sets and their representations50 Q 3 Level 3 Ready 50/50 Topics in this level Sets and their representations50 Q 4 Level 4 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets48 Q Sets2 Q 5 Level 5 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 6 Level 6 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 7 Level 7 Ready 50/50 Topics in this level Equal sets and Subsets48 Q Sets2 Q 8 Level 8 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 9 Level 9 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 10 Level 10 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams50 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams50 Q 15 Level 15 Ready 50/50 Topics in this level Venn Diagrams50 Q 16 Level 16 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 17 Level 17 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 18 Level 18 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 19 Level 19 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 20 Level 20 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 21 Level 21 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 22 Level 22 Ready 50/50 Topics in this level Cartesian product of sets50 Q 23 Level 23 Ready 50/50 Topics in this level Cartesian product of sets50 Q 24 Level 24 Ready 50/50 Topics in this level Cartesian product of sets50 Q 25 Level 25 Ready 50/50 Topics in this level Relations50 Q 26 Level 26 Ready 50/50 Topics in this level Relations50 Q 27 Level 27 Ready 50/50 Topics in this level Relations50 Q 28 Level 28 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 29 Level 29 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 31 Level 31 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 32 Level 32 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 33 Level 33 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 34 Level 34 Ready 50/50 Topics in this level Graphs of standard functions50 Q 35 Level 35 Ready 50/50 Topics in this level Graphs of standard functions50 Q 36 Level 36 Ready 50/50 Topics in this level Graphs of standard functions50 Q 37 Level 37 Ready 50/50 Topics in this level Algebra of real functions50 Q 38 Level 38 Ready 50/50 Topics in this level Algebra of real functions50 Q 39 Level 39 Ready 50/50 Topics in this level Algebra of real functions50 Q 40 Level 40 Ready 50/50 Topics in this level Introduction to inequalities50 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities50 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities50 Q 43 Level 43 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable47 Q Linear Inequalities3 Q 44 Level 44 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable47 Q Linear Inequalities3 Q 45 Level 45 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable48 Q Linear Inequalities2 Q 46 Level 46 Ready 50/50 Topics in this level representation on number line49 Q Linear Inequalities1 Q 47 Level 47 Ready 50/50 Topics in this level representation on number line44 Q Linear Inequalities6 Q 48 Level 48 Ready 50/50 Topics in this level representation on number line49 Q Linear Inequalities1 Q 49 Level 49 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 50 Level 50 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 51 Level 51 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables25 Q Fundamental principle of counting24 Q Linear Inequalities1 Q 52 Level 52 Ready 50/50 Topics in this level Permutations and Combinations26 Q Linear Inequalities24 Q 53 Level 53 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 54 Level 54 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 55 Level 55 Ready 50/50 Topics in this level Factorial notation50 Q 56 Level 56 Ready 50/50 Topics in this level Factorial notation50 Q 57 Level 57 Ready 50/50 Topics in this level Factorial notation50 Q 58 Level 58 Ready 50/50 Topics in this level Permutations50 Q 59 Level 59 Ready 50/50 Topics in this level Permutations50 Q 60 Level 60 Ready 50/50 Topics in this level Permutations50 Q 61 Level 61 Ready 50/50 Topics in this level Combinations50 Q 62 Level 62 Ready 50/50 Topics in this level Combinations50 Q 63 Level 63 Ready 50/50 Topics in this level Combinations50 Q 64 Level 64 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 65 Level 65 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 66 Level 66 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 67 Level 67 Ready 50/50 Topics in this level Angles50 Q 68 Level 68 Ready 50/50 Topics in this level Angles50 Q 69 Level 69 Ready 50/50 Topics in this level Angles50 Q 70 Level 70 Ready 50/50 Topics in this level Trigonometric functions and their properties46 Q Trigonometric Functions4 Q 71 Level 71 Ready 50/50 Topics in this level Trigonometric functions and their properties50 Q 72 Level 72 Ready 50/50 Topics in this level Trigonometric functions and their properties50 Q 73 Level 73 Locked 0/50 74 Level 74 Locked 0/50 75 Level 75 Locked 0/50 76 Level 76 Locked 0/50 77 Level 77 Locked 0/50 78 Level 78 Locked 0/50 79 Level 79 Locked 0/50 80 Level 80 Locked 0/50 81 Level 81 Locked 0/50 82 Level 82 Locked 0/50 83 Level 83 Locked 0/50 84 Level 84 Locked 0/50 85 Level 85 Locked 0/50 86 Level 86 Locked 0/50 87 Level 87 Locked 0/50 88 Level 88 Locked 0/50 89 Level 89 Locked 0/50 90 Level 90 Locked 0/50 91 Level 91 Locked 0/50 92 Level 92 Locked 0/50 93 Level 93 Locked 0/50 94 Level 94 Locked 0/50 95 Level 95 Locked 0/50 96 Level 96 Locked 0/50 97 Level 97 Locked 0/50 98 Level 98 Locked 0/50 99 Level 99 Locked 0/50 100 Level 100 Locked 0/50

Medium Levels

Start
1 Level 1 Ready 50/50 Topics in this level Sets and their representations50 Q 2 Level 2 Ready 50/50 Topics in this level Sets and their representations50 Q 3 Level 3 Ready 50/50 Topics in this level Sets and their representations50 Q 4 Level 4 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 5 Level 5 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 6 Level 6 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 7 Level 7 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 8 Level 8 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 9 Level 9 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 10 Level 10 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams50 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams50 Q 15 Level 15 Ready 50/50 Topics in this level Venn Diagrams49 Q Sets1 Q 16 Level 16 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 17 Level 17 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 18 Level 18 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 19 Level 19 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 20 Level 20 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 21 Level 21 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 22 Level 22 Ready 50/50 Topics in this level Cartesian product of sets50 Q 23 Level 23 Ready 50/50 Topics in this level Cartesian product of sets50 Q 24 Level 24 Ready 50/50 Topics in this level Cartesian product of sets50 Q 25 Level 25 Ready 50/50 Topics in this level Relations50 Q 26 Level 26 Ready 50/50 Topics in this level Relations50 Q 27 Level 27 Ready 50/50 Topics in this level Relations50 Q 28 Level 28 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 29 Level 29 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 31 Level 31 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 32 Level 32 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 33 Level 33 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 34 Level 34 Ready 50/50 Topics in this level Graphs of standard functions50 Q 35 Level 35 Ready 50/50 Topics in this level Graphs of standard functions50 Q 36 Level 36 Ready 50/50 Topics in this level Graphs of standard functions50 Q 37 Level 37 Ready 50/50 Topics in this level Algebra of real functions50 Q 38 Level 38 Ready 50/50 Topics in this level Algebra of real functions50 Q 39 Level 39 Ready 50/50 Topics in this level Algebra of real functions50 Q 40 Level 40 Ready 50/50 Topics in this level Introduction to inequalities50 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities50 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities50 Q 43 Level 43 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable48 Q Linear Inequalities2 Q 44 Level 44 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable50 Q 45 Level 45 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable47 Q Linear Inequalities3 Q 46 Level 46 Ready 50/50 Topics in this level representation on number line50 Q 47 Level 47 Ready 50/50 Topics in this level representation on number line50 Q 48 Level 48 Ready 50/50 Topics in this level representation on number line50 Q 49 Level 49 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 50 Level 50 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 51 Level 51 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 52 Level 52 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 53 Level 53 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 54 Level 54 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 55 Level 55 Ready 50/50 Topics in this level Factorial notation50 Q 56 Level 56 Ready 50/50 Topics in this level Factorial notation50 Q 57 Level 57 Ready 50/50 Topics in this level Factorial notation50 Q 58 Level 58 Ready 50/50 Topics in this level Permutations50 Q 59 Level 59 Ready 50/50 Topics in this level Permutations50 Q 60 Level 60 Ready 50/50 Topics in this level Permutations50 Q 61 Level 61 Ready 50/50 Topics in this level Combinations50 Q 62 Level 62 Ready 50/50 Topics in this level Combinations50 Q 63 Level 63 Ready 50/50 Topics in this level Combinations50 Q 64 Level 64 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 65 Level 65 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 66 Level 66 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 67 Level 67 Ready 50/50 Topics in this level Angles50 Q 68 Level 68 Ready 50/50 Topics in this level Angles50 Q 69 Level 69 Ready 50/50 Topics in this level Angles50 Q 70 Level 70 Ready 50/50 Topics in this level Trigonometric functions and their properties50 Q 71 Level 71 Ready 50/50 Topics in this level Trigonometric functions and their properties50 Q 72 Level 72 Ready 50/50 Topics in this level Trigonometric functions and their properties50 Q 73 Level 73 Locked 0/50 74 Level 74 Locked 0/50 75 Level 75 Locked 0/50 76 Level 76 Locked 0/50 77 Level 77 Locked 0/50 78 Level 78 Locked 0/50 79 Level 79 Locked 0/50 80 Level 80 Locked 0/50 81 Level 81 Locked 0/50 82 Level 82 Locked 0/50 83 Level 83 Locked 0/50 84 Level 84 Locked 0/50 85 Level 85 Locked 0/50 86 Level 86 Locked 0/50 87 Level 87 Locked 0/50 88 Level 88 Locked 0/50 89 Level 89 Locked 0/50 90 Level 90 Locked 0/50 91 Level 91 Locked 0/50 92 Level 92 Locked 0/50 93 Level 93 Locked 0/50 94 Level 94 Locked 0/50 95 Level 95 Locked 0/50 96 Level 96 Locked 0/50 97 Level 97 Locked 0/50 98 Level 98 Locked 0/50 99 Level 99 Locked 0/50 100 Level 100 Locked 0/50

Hard Levels

Start
1 Level 1 Ready 50/50 Topics in this level Sets and their representations50 Q 2 Level 2 Ready 50/50 Topics in this level Sets and their representations50 Q 3 Level 3 Ready 50/50 Topics in this level Sets and their representations50 Q 4 Level 4 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 5 Level 5 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 6 Level 6 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 7 Level 7 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 8 Level 8 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 9 Level 9 Ready 50/50 Topics in this level Equal sets and Subsets49 Q Sets1 Q 10 Level 10 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set49 Q Sets1 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set49 Q Sets1 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams50 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams50 Q 15 Level 15 Ready 50/50 Topics in this level Venn Diagrams50 Q 16 Level 16 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 17 Level 17 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 18 Level 18 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 19 Level 19 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 20 Level 20 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 21 Level 21 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 22 Level 22 Ready 50/50 Topics in this level Cartesian product of sets50 Q 23 Level 23 Ready 50/50 Topics in this level Cartesian product of sets50 Q 24 Level 24 Ready 50/50 Topics in this level Cartesian product of sets50 Q 25 Level 25 Ready 50/50 Topics in this level Relations50 Q 26 Level 26 Ready 50/50 Topics in this level Relations50 Q 27 Level 27 Ready 50/50 Topics in this level Relations50 Q 28 Level 28 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 29 Level 29 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 31 Level 31 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 32 Level 32 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 33 Level 33 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 34 Level 34 Ready 50/50 Topics in this level Graphs of standard functions50 Q 35 Level 35 Ready 50/50 Topics in this level Graphs of standard functions50 Q 36 Level 36 Ready 50/50 Topics in this level Graphs of standard functions50 Q 37 Level 37 Ready 50/50 Topics in this level Algebra of real functions50 Q 38 Level 38 Ready 50/50 Topics in this level Algebra of real functions50 Q 39 Level 39 Ready 50/50 Topics in this level Algebra of real functions50 Q 40 Level 40 Ready 50/50 Topics in this level Introduction to inequalities50 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities50 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities50 Q 43 Level 43 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable50 Q 44 Level 44 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable50 Q 45 Level 45 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable50 Q 46 Level 46 Ready 50/50 Topics in this level representation on number line50 Q 47 Level 47 Ready 50/50 Topics in this level representation on number line50 Q 48 Level 48 Ready 50/50 Topics in this level representation on number line50 Q 49 Level 49 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 50 Level 50 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 51 Level 51 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 52 Level 52 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 53 Level 53 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 54 Level 54 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 55 Level 55 Ready 50/50 Topics in this level Factorial notation49 Q Permutations and Combinations1 Q 56 Level 56 Ready 50/50 Topics in this level Factorial notation47 Q Permutations and Combinations3 Q 57 Level 57 Ready 50/50 Topics in this level Factorial notation44 Q Permutations and Combinations6 Q 58 Level 58 Ready 50/50 Topics in this level Permutations50 Q 59 Level 59 Ready 50/50 Topics in this level Permutations50 Q 60 Level 60 Ready 50/50 Topics in this level Permutations50 Q 61 Level 61 Ready 50/50 Topics in this level Combinations50 Q 62 Level 62 Ready 50/50 Topics in this level Combinations50 Q 63 Level 63 Ready 50/50 Topics in this level Combinations50 Q 64 Level 64 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 65 Level 65 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 66 Level 66 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 67 Level 67 Ready 50/50 Topics in this level Angles50 Q 68 Level 68 Ready 50/50 Topics in this level Angles50 Q 69 Level 69 Ready 50/50 Topics in this level Angles50 Q 70 Level 70 Ready 50/50 Topics in this level Trigonometric functions and their properties50 Q 71 Level 71 Locked 0/50 72 Level 72 Locked 0/50 73 Level 73 Locked 0/50 74 Level 74 Locked 0/50 75 Level 75 Locked 0/50 76 Level 76 Locked 0/50 77 Level 77 Locked 0/50 78 Level 78 Locked 0/50 79 Level 79 Locked 0/50 80 Level 80 Locked 0/50 81 Level 81 Locked 0/50 82 Level 82 Locked 0/50 83 Level 83 Locked 0/50 84 Level 84 Locked 0/50 85 Level 85 Locked 0/50 86 Level 86 Locked 0/50 87 Level 87 Locked 0/50 88 Level 88 Locked 0/50 89 Level 89 Locked 0/50 90 Level 90 Locked 0/50 91 Level 91 Locked 0/50 92 Level 92 Locked 0/50 93 Level 93 Locked 0/50 94 Level 94 Locked 0/50 95 Level 95 Locked 0/50 96 Level 96 Locked 0/50 97 Level 97 Locked 0/50 98 Level 98 Locked 0/50 99 Level 99 Locked 0/50 100 Level 100 Locked 0/50

Expert Levels

Start
1 Level 1 Ready 50/50 Topics in this level Sets and their representations50 Q 2 Level 2 Ready 50/50 Topics in this level Sets and their representations50 Q 3 Level 3 Ready 51/50 Topics in this level Sets and their representations51 Q 4 Level 4 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 5 Level 5 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets50 Q 6 Level 6 Ready 50/50 Topics in this level The Empty Set, Finite and Infinite Sets, Equal Sets49 Q The Empty Set, many more. Step 3: Hence the set is infinite.1 Q 7 Level 7 Ready 50/50 Topics in this level Equal sets and Subsets45 Q Sets5 Q 8 Level 8 Ready 50/50 Topics in this level Equal sets and Subsets49 Q Sets1 Q 9 Level 9 Ready 50/50 Topics in this level Equal sets and Subsets50 Q 10 Level 10 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set40 Q Sets10 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams50 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams50 Q 15 Level 15 Ready 50/50 Topics in this level Venn Diagrams50 Q 16 Level 16 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 17 Level 17 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 18 Level 18 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)50 Q 19 Level 19 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 20 Level 20 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 21 Level 21 Ready 50/50 Topics in this level Complement of a Set and its properties50 Q 22 Level 22 Ready 50/50 Topics in this level Cartesian product of sets50 Q 23 Level 23 Ready 50/50 Topics in this level Cartesian product of sets50 Q 24 Level 24 Ready 50/50 Topics in this level Cartesian product of sets50 Q 25 Level 25 Ready 50/50 Topics in this level Relations50 Q 26 Level 26 Ready 50/50 Topics in this level Relations50 Q 27 Level 27 Ready 50/50 Topics in this level Relations50 Q 28 Level 28 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 29 Level 29 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation50 Q 31 Level 31 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 32 Level 32 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 33 Level 33 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions50 Q 34 Level 34 Ready 50/50 Topics in this level Graphs of standard functions50 Q 35 Level 35 Ready 50/50 Topics in this level Graphs of standard functions50 Q 36 Level 36 Ready 50/50 Topics in this level Graphs of standard functions50 Q 37 Level 37 Ready 50/50 Topics in this level Algebra of real functions50 Q 38 Level 38 Ready 50/50 Topics in this level Algebra of real functions50 Q 39 Level 39 Ready 50/50 Topics in this level Algebra of real functions50 Q 40 Level 40 Ready 50/50 Topics in this level Introduction to inequalities48 Q Linear Inequalities2 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities46 Q Linear Inequalities4 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities46 Q Linear Inequalities4 Q 43 Level 43 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable50 Q 44 Level 44 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable50 Q 45 Level 45 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable46 Q Linear Inequalities4 Q 46 Level 46 Ready 50/50 Topics in this level representation on number line50 Q 47 Level 47 Ready 50/50 Topics in this level representation on number line50 Q 48 Level 48 Ready 50/50 Topics in this level representation on number line50 Q 49 Level 49 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 50 Level 50 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 51 Level 51 Ready 50/50 Topics in this level Graphical solution of linear inequalities in two variables50 Q 52 Level 52 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 53 Level 53 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 54 Level 54 Ready 50/50 Topics in this level Fundamental principle of counting50 Q 55 Level 55 Ready 50/50 Topics in this level Factorial notation50 Q 56 Level 56 Ready 50/50 Topics in this level Factorial notation50 Q 57 Level 57 Ready 50/50 Topics in this level Factorial notation50 Q 58 Level 58 Ready 50/50 Topics in this level Permutations50 Q 59 Level 59 Ready 50/50 Topics in this level Permutations50 Q 60 Level 60 Ready 50/50 Topics in this level Permutations50 Q 61 Level 61 Ready 50/50 Topics in this level Combinations50 Q 62 Level 62 Ready 50/50 Topics in this level Combinations50 Q 63 Level 63 Ready 50/50 Topics in this level Combinations50 Q 64 Level 64 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 65 Level 65 Ready 50/50 Topics in this level Derivations of formulas and their connections50 Q 66 Level 66 Ready 50/50 Topics in this level 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Question 1/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि \(\theta\) चतुर्थ चतुर्थांश में है और \(\cos \theta=\frac{8}{17}\), तो \(\tan \theta\) क्या होगा?

If \(\theta\) is in the fourth quadrant and \(\cos \theta=\frac{8}{17}\), what will \(\tan \theta\) be?

Explanation opens after your attempt
Correct Answer

C. \(-\frac{15}{8} \)

Step 1

Concept

In the fourth quadrant, \(\sin \theta\) is negative and \(\cos \theta\) is positive. Hence \(\sin \theta=-\frac{15}{17}\) and \(\tan \theta=-\frac{15}{8}\).

Step 2

Why this answer is correct

The correct answer is C. \(-\frac{15}{8} \). In the fourth quadrant, \(\sin \theta\) is negative and \(\cos \theta\) is positive. Hence \(\sin \theta=-\frac{15}{17}\) and \(\tan \theta=-\frac{15}{8}\).

Step 3

Exam Tip

चतुर्थ चतुर्थांश में \(\sin \theta\) ऋणात्मक और \(\cos \theta\) धनात्मक होता है। इसलिए \(\sin \theta=-\frac{15}{17}\) और \(\tan \theta=-\frac{15}{8}\)।

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Question 2/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि \(\sin x+\sin^2 x=0\), तो \(0\leq x<2\pi\) में कितने हल हैं?

If \(\sin x+\sin^2 x=0\), how many solutions are there in \(0\leq x<2\pi\)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

Since (\sin x\(1+\sin x\)=0), \(\sin x=0\) or \(\sin x=-1\). In the given interval, \(x=0,\pi,\frac{3\pi}{2}\).

Step 2

Why this answer is correct

The correct answer is A. (3). Since (\sin x\(1+\sin x\)=0), \(\sin x=0\) or \(\sin x=-1\). In the given interval, \(x=0,\pi,\frac{3\pi}{2}\).

Step 3

Exam Tip

(\sin x\(1+\sin x\)=0), इसलिए \(\sin x=0\) या \(\sin x=-1\)। दिए गए अंतराल में \(x=0,\pi,\frac{3\pi}{2}\) मिलते हैं।

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Question 3/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

फलन (f(x)=\sin 2x+\sin 4x) का मूल आवर्त क्या है?

What is the fundamental period of (f(x)=\sin 2x+\sin 4x)?

Explanation opens after your attempt
Correct Answer

B. \( \pi \)

Step 1

Concept

The period of \(\sin 2x\) is \(\pi\) and the period of \(\sin 4x\) is \(\frac{\pi}{2}\). Their common fundamental period is \(\pi\).

Step 2

Why this answer is correct

The correct answer is B. \( \pi \). The period of \(\sin 2x\) is \(\pi\) and the period of \(\sin 4x\) is \(\frac{\pi}{2}\). Their common fundamental period is \(\pi\).

Step 3

Exam Tip

\(\sin 2x\) का आवर्त \(\pi\) और \(\sin 4x\) का आवर्त \(\frac{\pi}{2}\) है। इनका सामान्य मूल आवर्त \(\pi\) है।

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Question 4/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

\(5\sin x-12\cos x\) का अधिकतम मान क्या है?

What is the maximum value of \(5\sin x-12\cos x\)?

Explanation opens after your attempt
Correct Answer

A. (13)

Step 1

Concept

The maximum value of \(a\sin x+b\cos x\) is \(\sqrt{a^2+b^2}\). So (\sqrt{52+(-12)2}=13).

Step 2

Why this answer is correct

The correct answer is A. (13). The maximum value of \(a\sin x+b\cos x\) is \(\sqrt{a^2+b^2}\). So (\sqrt{52+(-12)2}=13).

Step 3

Exam Tip

\(a\sin x+b\cos x\) का अधिकतम मान \(\sqrt{a^2+b^2}\) होता है। इसलिए (\sqrt{52+(-12)2}=13) मिलेगा।

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Question 5/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि \(\cos x=-\frac{1}{2}\), तो \(0\leq x<2\pi\) में (x) के मान कौन-से हैं?

If \(\cos x=-\frac{1}{2}\), what are the values of (x) in \(0\leq x<2\pi\)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{2\pi}{3},\frac{4\pi}{3} \)

Step 1

Concept

\(\cos x\) is negative in the second and third quadrants. Hence \(x=\frac{2\pi}{3},\frac{4\pi}{3}\).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{2\pi}{3},\frac{4\pi}{3} \). \(\cos x\) is negative in the second and third quadrants. Hence \(x=\frac{2\pi}{3},\frac{4\pi}{3}\).

Step 3

Exam Tip

\(\cos x\) द्वितीय और तृतीय चतुर्थांश में ऋणात्मक होता है। इसलिए \(x=\frac{2\pi}{3},\frac{4\pi}{3}\)।

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Question 6/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि \(\sin x=\frac{1}{2}\), तो \(0\leq x<2\pi\) में (x) के मान कौन-से हैं?

If \(\sin x=\frac{1}{2}\), what are the values of (x) in \(0\leq x<2\pi\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{\pi}{6},\frac{5\pi}{6} \)

Step 1

Concept

\(\sin x\) is positive in the first and second quadrants. Hence \(x=\frac{\pi}{6},\frac{5\pi}{6}\).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{\pi}{6},\frac{5\pi}{6} \). \(\sin x\) is positive in the first and second quadrants. Hence \(x=\frac{\pi}{6},\frac{5\pi}{6}\).

Step 3

Exam Tip

\(\sin x\) प्रथम और द्वितीय चतुर्थांश में धनात्मक है। इसलिए \(x=\frac{\pi}{6},\frac{5\pi}{6}\)।

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Question 7/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

\(\cos 3x\) का सही विस्तार कौन-सा है?

Which is the correct expansion of \(\cos 3x\)?

Explanation opens after your attempt
Correct Answer

C. \(4\cos^3 x-3\cos x\)

Step 1

Concept

The triple angle formula is \(\cos 3x=4\cos^3 x-3\cos x\). In exams, do not confuse it with \(\sin 3x\).

Step 2

Why this answer is correct

The correct answer is C. \(4\cos^3 x-3\cos x\). The triple angle formula is \(\cos 3x=4\cos^3 x-3\cos x\). In exams, do not confuse it with \(\sin 3x\).

Step 3

Exam Tip

त्रिगुण कोण सूत्र \(\cos 3x=4\cos^3 x-3\cos x\) है। परीक्षा में इसे \(\sin 3x\) से confuse न करें।

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Question 8/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

\(\sin 3x\) का सही विस्तार कौन-सा है?

Which is the correct expansion of \(\sin 3x\)?

Explanation opens after your attempt
Correct Answer

B. \(3\sin x-4\sin^3 x\)

Step 1

Concept

The triple angle formula is \(\sin 3x=3\sin x-4\sin^3 x\). In exams, avoid sign mistakes.

Step 2

Why this answer is correct

The correct answer is B. \(3\sin x-4\sin^3 x\). The triple angle formula is \(\sin 3x=3\sin x-4\sin^3 x\). In exams, avoid sign mistakes.

Step 3

Exam Tip

त्रिगुण कोण सूत्र \(\sin 3x=3\sin x-4\sin^3 x\) है। परीक्षा में sign की गलती न करें।

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Question 9/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि (x) तृतीय चतुर्थांश में है और \(\tan x=\frac{4}{3}\), तो \(\sin x\) क्या है?

If (x) lies in the third quadrant and \(\tan x=\frac{4}{3}\), what is \(\sin x\)?

Explanation opens after your attempt
Correct Answer

A. \(-\frac{4}{5} \)

Step 1

Concept

In the third quadrant, both \(\sin x\) and \(\cos x\) are negative, while \(\tan x\) is positive. Hence \(\sin x=-\frac{4}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(-\frac{4}{5} \). In the third quadrant, both \(\sin x\) and \(\cos x\) are negative, while \(\tan x\) is positive. Hence \(\sin x=-\frac{4}{5}\).

Step 3

Exam Tip

तृतीय चतुर्थांश में \(\sin x\) और \(\cos x\) दोनों ऋणात्मक होते हैं, पर \(\tan x\) धनात्मक होता है। इसलिए \(\sin x=-\frac{4}{5}\)।

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Question 10/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि (x) द्वितीय चतुर्थांश में है और \(\sin x=\frac{5}{13}\), तो \(\cos x\) क्या होगा?

If (x) is in the second quadrant and \(\sin x=\frac{5}{13}\), what will \(\cos x\) be?

Explanation opens after your attempt
Correct Answer

D. \(-\frac{12}{13} \)

Step 1

Concept

In the second quadrant, \(\cos x\) is negative. From \(\sin^2 x+\cos^2 x=1\), \(\cos x=-\frac{12}{13}\).

Step 2

Why this answer is correct

The correct answer is D. \(-\frac{12}{13} \). In the second quadrant, \(\cos x\) is negative. From \(\sin^2 x+\cos^2 x=1\), \(\cos x=-\frac{12}{13}\).

Step 3

Exam Tip

द्वितीय चतुर्थांश में \(\cos x\) ऋणात्मक होता है। \(\sin^2 x+\cos^2 x=1\) से \(\cos x=-\frac{12}{13}\)।

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Question 11/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

फलन (f(x)=\cos 4x) का आवर्त क्या है?

What is the period of (f(x)=\cos 4x)?

Explanation opens after your attempt
Correct Answer

C. \( \frac{\pi}{2} \)

Step 1

Concept

The period of \(\cos ax\) is \( \frac{2\pi}{|a|} \). Hence the period of \(\cos 4x\) is \( \frac{\pi}{2} \).

Step 2

Why this answer is correct

The correct answer is C. \( \frac{\pi}{2} \). The period of \(\cos ax\) is \( \frac{2\pi}{|a|} \). Hence the period of \(\cos 4x\) is \( \frac{\pi}{2} \).

Step 3

Exam Tip

\(\cos ax\) का आवर्त \( \frac{2\pi}{|a|} \) होता है। इसलिए \(\cos 4x\) का आवर्त \( \frac{\pi}{2} \) है।

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Question 12/50 Hard Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

फलन (f(x)=\tan 3x) का मूल आवर्त क्या है?

What is the fundamental period of (f(x)=\tan 3x)?

Explanation opens after your attempt
Correct Answer

B. \( \frac{\pi}{3} \)

Step 1

Concept

The period of \(\tan ax\) is \( \frac{\pi}{|a|} \). Here (a=3), so the period is \( \frac{\pi}{3} \).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{\pi}{3} \). The period of \(\tan ax\) is \( \frac{\pi}{|a|} \). Here (a=3), so the period is \( \frac{\pi}{3} \).

Step 3

Exam Tip

\(\tan ax\) का आवर्त \( \frac{\pi}{|a|} \) होता है। यहाँ (a=3), इसलिए आवर्त \( \frac{\pi}{3} \) है।

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