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Class 11 Mathematics Quiz

Mathematics MCQ Questions for Class 11

Practice Class 11 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 Mathematics Summary

Class 11 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.

6+ chapters 10+ topics 14152 active MCQs
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Free MCQ Practice

Class 11 Mathematics MCQ Questions with Answers

Class 11 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 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. Chapters include Linear Inequalities, Sets, Permutations and Combinations, Relations and Functions. Topics include Introduction to inequalities, algebraic solution of linear inequalities in one variable, representation on number line, Graphical solution of linear inequalities in two variables, Sets and their representations.

1 Sets Mathematics Sets MCQ practice for Class 11 with topic-wise questions, correct answers and simple explanations. 1Sets and their representations615 Q 2The Empty Set, Finite and Infinite Sets, Equal Sets626 Q 3Equal sets and Subsets417 Q 4Power Set and Universal Set682 Q 5Venn Diagrams474 Q 6Operations on Sets (Union, Intersection, Difference)684 Q 7Complement of a Set and its properties723 Q 8The Empty Set, many more. Step 3: Hence the set is infinite.1 Q Easy 1050 Medium 1050 Hard 1050 Expert 1072 4222 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 51/50 Topics in this level Sets and their representations50 Q Slope of a line and angle between two lines1 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 Sets and their representations2 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 Sets and their representations1 Q The Empty Set, Finite and Infinite Sets, Equal Sets1 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 Set37 Q Complement of a Set and its properties13 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set33 Q Complement of a Set and its properties16 Q The Empty Set, Finite and Infinite Sets, Equal Sets1 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set30 Q Complement of a Set and its properties18 Q Equal sets and Subsets1 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams39 Q Operations on Sets (Union, Intersection, Difference)9 Q Complement of a Set and its properties2 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams22 Q Operations on Sets (Union, Intersection, Difference)21 Q Complement of a Set and its properties7 Q 15 Level 15 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)24 Q Venn Diagrams19 Q Complement of a Set and its properties6 Q 16 Level 16 Ready 50/50 Topics in this level Operations on Sets (Union, Intersection, Difference)33 Q Power Set and Universal Set6 Q Equal sets and Subsets5 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 Relations49 Q Cartesian product of sets1 Q 26 Level 26 Ready 50/50 Topics in this level Relations48 Q Cartesian product of sets2 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 relation45 Q Real valued functions, domain and range of these functions4 Q Graphs of standard functions1 Q 29 Level 29 Ready 50/50 Topics in this level Functions as a special kind of relation41 Q Real valued functions, domain and range of these functions8 Q Graphs of standard functions1 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation41 Q Real valued functions, domain and range of these functions6 Q Cartesian product of sets1 Q 31 Level 31 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions49 Q Functions as a special kind of relation1 Q 32 Level 32 Ready 50/50 Topics in this level Real valued functions, domain and range of these functions48 Q Functions as a special kind of relation2 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 functions43 Q Real valued functions, domain and range of these functions5 Q Slope of a line and angle between two lines1 Q 35 Level 35 Ready 50/50 Topics in this level Graphs of standard functions42 Q Real valued functions, domain and range of these functions4 Q Slope of a line and angle between two lines2 Q 36 Level 36 Ready 50/50 Topics in this level Graphs of standard functions42 Q Real valued functions, domain and range of these functions7 Q Slope of a line and angle between two lines1 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 inequalities36 Q algebraic solution of linear inequalities in one variable9 Q representation on number line5 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities41 Q algebraic solution of linear inequalities in one variable6 Q representation on number line3 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities38 Q algebraic solution of linear inequalities in one variable8 Q representation on number line4 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 variable48 Q Introduction to inequalities1 Q representation on number line1 Q 45 Level 45 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable47 Q Introduction to inequalities3 Q 46 Level 46 Ready 50/50 Topics in this level representation on number line49 Q algebraic solution of linear inequalities in one variable1 Q 47 Level 47 Ready 50/50 Topics in this level representation on number line49 Q Introduction to inequalities1 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 variables25 Q Fundamental principle of counting24 Q algebraic solution of linear inequalities in one variable1 Q 52 Level 52 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable20 Q Fundamental principle of counting15 Q Combinations7 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

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 Power Set and Universal Set50 Q 10 Level 10 Ready 50/50 Topics in this level Power Set and Universal Set41 Q Complement of a Set and its properties9 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set42 Q Complement of a Set and its properties8 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set36 Q Complement of a Set and its properties12 Q Equal sets and Subsets1 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams42 Q Operations on Sets (Union, Intersection, Difference)6 Q Complement of a Set and its properties2 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams39 Q Operations on Sets (Union, Intersection, Difference)9 Q Complement of a Set and its properties1 Q 15 Level 15 Ready 50/50 Topics in this level Venn Diagrams39 Q Operations on Sets (Union, Intersection, Difference)9 Q Complement of a Set and its properties2 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 sets49 Q Relations1 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 Relations49 Q Cartesian product of sets1 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 relation48 Q Real valued functions, domain and range of these functions2 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation47 Q Real valued functions, domain and range of these functions2 Q Relations1 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 functions31 Q Real valued functions, domain and range of these functions14 Q Slope of a line and angle between two lines2 Q 35 Level 35 Ready 50/50 Topics in this level Graphs of standard functions39 Q Real valued functions, domain and range of these functions8 Q Slope of a line and angle between two lines2 Q 36 Level 36 Ready 50/50 Topics in this level Graphs of standard functions48 Q Real valued functions, domain and range of these functions1 Q Various forms of the equation of a line1 Q 37 Level 37 Ready 50/50 Topics in this level Algebra of real functions49 Q Real valued functions, domain and range of these functions1 Q 38 Level 38 Ready 50/50 Topics in this level Algebra of real functions49 Q Functions as a special kind of relation1 Q 39 Level 39 Ready 50/50 Topics in this level Algebra of real functions47 Q Real valued functions, domain and range of these functions2 Q algebraic solution of linear inequalities in one variable1 Q 40 Level 40 Ready 50/50 Topics in this level Introduction to inequalities41 Q algebraic solution of linear inequalities in one variable8 Q representation on number line1 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities28 Q algebraic solution of linear inequalities in one variable19 Q representation on number line3 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities27 Q algebraic solution of linear inequalities in one variable20 Q representation on number line3 Q 43 Level 43 Ready 50/50 Topics in this level algebraic solution of linear inequalities in one variable48 Q Introduction to inequalities1 Q representation on number line1 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 variable48 Q representation on number line2 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 Power Set and Universal Set50 Q 8 Level 8 Ready 50/50 Topics in this level Power Set and Universal Set50 Q 9 Level 9 Ready 50/50 Topics in this level Equal sets and Subsets32 Q The Empty Set, Finite and Infinite Sets, Equal Sets7 Q Sets and their representations6 Q 10 Level 10 Ready 50/50 Topics in this level Power Set and Universal Set39 Q Complement of a Set and its properties11 Q 11 Level 11 Ready 50/50 Topics in this level Power Set and Universal Set41 Q Complement of a Set and its properties9 Q 12 Level 12 Ready 50/50 Topics in this level Power Set and Universal Set48 Q Complement of a Set and its properties2 Q 13 Level 13 Ready 50/50 Topics in this level Venn Diagrams45 Q Operations on Sets (Union, Intersection, Difference)5 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams46 Q Operations on Sets (Union, Intersection, Difference)4 Q 15 Level 15 Ready 50/50 Topics in this level Venn Diagrams44 Q Operations on Sets (Union, Intersection, Difference)5 Q Complement of a Set and its properties1 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 Relations49 Q Real valued functions, domain and range of these functions1 Q 28 Level 28 Ready 50/50 Topics in this level Functions as a special kind of relation47 Q Real valued functions, domain and range of these functions3 Q 29 Level 29 Ready 50/50 Topics in this level Functions as a special kind of relation46 Q Real valued functions, domain and range of these functions3 Q Graphs of standard functions1 Q 30 Level 30 Ready 50/50 Topics in this level Functions as a special kind of relation49 Q Real valued functions, domain and range of these functions1 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 functions49 Q Functions as a special kind of relation1 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 functions45 Q Domain, range, and graphs of trigonometric functions2 Q Real valued functions, domain and range of these functions2 Q 37 Level 37 Ready 50/50 Topics in this level Algebra of real functions48 Q Real valued functions, domain and range of these functions2 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 functions47 Q Real valued functions, domain and range of these functions2 Q Functions as a special kind of relation1 Q 40 Level 40 Ready 50/50 Topics in this level Introduction to inequalities38 Q algebraic solution of linear inequalities in one variable10 Q representation on number line2 Q 41 Level 41 Ready 50/50 Topics in this level Introduction to inequalities29 Q algebraic solution of linear inequalities in one variable17 Q representation on number line4 Q 42 Level 42 Ready 50/50 Topics in this level Introduction to inequalities44 Q algebraic solution of linear inequalities in one variable6 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 notation50 Q 56 Level 56 Ready 50/50 Topics in this level Factorial notation48 Q Permutations2 Q 57 Level 57 Ready 50/50 Topics in this level Factorial notation46 Q Combinations2 Q Permutations2 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 Subsets46 Q Power Set and Universal Set2 Q Sets and their representations2 Q 8 Level 8 Ready 50/50 Topics in this level Equal sets and Subsets35 Q Power Set and Universal Set7 Q Operations on Sets (Union, Intersection, Difference)3 Q 9 Level 9 Ready 50/50 Topics in this level Equal sets and Subsets38 Q Power Set and Universal Set6 Q Operations on Sets (Union, Intersection, Difference)3 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 Equal sets and Subsets1 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 Diagrams47 Q Complement of a Set and its properties1 Q Equal sets and Subsets1 Q 14 Level 14 Ready 50/50 Topics in this level Venn Diagrams44 Q Equal sets and Subsets2 Q Power Set and Universal Set2 Q 15 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Question 1/50 Easy Mathematics Straight Lines Slope of a line and angle between two lines Class 11 Level 1

बिंदुओं (2, 3) और (6, 15) से गुजरने वाली रेखा की ढाल क्या है?

What is the slope of the line passing through (2, 3) and (6, 15)?

Explanation opens after your attempt
Correct Answer

B. 3

Explanation

Simple Explanation

दो बिंदुओं \((x_1,y_1)\) और \((x_2,y_2)\) के लिए ढाल \(m=\frac{y_2-y_1}{x_2-x_1}\) होती है। अतः \(m=\frac{15-3}{6-2}=\frac{12}{4}=3\)। इसलिए विकल्प B सही है। विकल्प 4 केवल \(x\)-निर्देशांकों का अंतर है, ढाल नहीं। परीक्षा टिप: ढाल निकालते समय \(y\)-निर्देशांकों का अंतर ऊपर और उसी क्रम में \(x\)-निर्देशांकों का अंतर नीचे लिखें। / For two points \((x_1,y_1)\) and \((x_2,y_2)\), the slope is \(m=\frac{y_2-y_1}{x_2-x_1}\). Thus, \(m=\frac{15-3}{6-2}=\frac{12}{4}=3\). Therefore, option B is correct. Option 4 is only the difference between the x-coordinates, not the slope. Exam tip: keep the order of subtraction the same in both the numerator and denominator.

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Question 2/50 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. \(-\frac{15}{8} \)

Explanation

Simple Explanation

चतुर्थ चतुर्थांश में \(\sin \theta\) ऋणात्मक और \(\cos \theta\) धनात्मक होता है। इसलिए \(\sin \theta=-\frac{15}{17}\) और \(\tan \theta=-\frac{15}{8}\)। / In the fourth quadrant, \(\sin \theta\) is negative and \(\cos \theta\) is positive. Hence \(\sin \theta=-\frac{15}{17}\) and \(\tan \theta=-\frac{15}{8}\).

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Question 3/50 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)

Explanation

Simple Explanation

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

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Question 4/50 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. \( \pi \)

Explanation

Simple Explanation

\(\sin 2x\) का आवर्त \(\pi\) और \(\sin 4x\) का आवर्त \(\frac{\pi}{2}\) है। इनका सामान्य मूल आवर्त \(\pi\) है। / The period of \(\sin 2x\) is \(\pi\) and the period of \(\sin 4x\) is \(\frac{\pi}{2}\). Their common fundamental period is \(\pi\).

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Question 5/50 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)

Explanation

Simple Explanation

\(a\sin x+b\cos x\) का अधिकतम मान \(\sqrt{a^2+b^2}\) होता है। इसलिए (\sqrt{52+(-12)2}=13) मिलेगा। / The maximum value of \(a\sin x+b\cos x\) is \(\sqrt{a^2+b^2}\). So (\sqrt{52+(-12)2}=13).

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Question 6/50 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. \( \frac{2\pi}{3},\frac{4\pi}{3} \)

Explanation

Simple Explanation

\(\cos x\) द्वितीय और तृतीय चतुर्थांश में ऋणात्मक होता है। इसलिए \(x=\frac{2\pi}{3},\frac{4\pi}{3}\)। / \(\cos x\) is negative in the second and third quadrants. Hence \(x=\frac{2\pi}{3},\frac{4\pi}{3}\).

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Question 7/50 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. \( \frac{\pi}{6},\frac{5\pi}{6} \)

Explanation

Simple Explanation

\(\sin x\) प्रथम और द्वितीय चतुर्थांश में धनात्मक है। इसलिए \(x=\frac{\pi}{6},\frac{5\pi}{6}\)। / \(\sin x\) is positive in the first and second quadrants. Hence \(x=\frac{\pi}{6},\frac{5\pi}{6}\).

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Question 8/50 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. \(4\cos^3 x-3\cos x\)

Explanation

Simple Explanation

त्रिगुण कोण सूत्र \(\cos 3x=4\cos^3 x-3\cos x\) है। परीक्षा में इसे \(\sin 3x\) से confuse न करें। / The triple angle formula is \(\cos 3x=4\cos^3 x-3\cos x\). In exams, do not confuse it with \(\sin 3x\).

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Question 9/50 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. \(3\sin x-4\sin^3 x\)

Explanation

Simple Explanation

त्रिगुण कोण का मानक सूत्र \(\sin 3x=3\sin x-4\sin^3 x\) होता है, इसलिए विकल्प B सही है। विकल्प C, विकल्प B का ऋणात्मक रूप है, अर्थात वह \(-\sin 3x\) के बराबर है। विकल्प D कोसाइन के त्रिगुण कोण सूत्र से संबंधित है, साइन के नहीं। परीक्षा टिप: \(\sin 3x\) के सूत्र में \(\sin^3 x\) का गुणांक 4 और उसके पहले ऋण चिह्न याद रखें। / The standard triple-angle identity is \(\sin 3x=3\sin x-4\sin^3 x\), so option B is correct. Option C is the negative of option B and hence equals \(-\sin 3x\). Option D is related to the triple-angle formula for cosine, not sine. Exam tip: remember that the \(\sin^3 x\) term in \(\sin 3x\) has coefficient 4 and a minus sign.

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Question 10/50 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. \(-\frac{4}{5} \)

Explanation

Simple Explanation

तृतीय चतुर्थांश में \(\sin x\) और \(\cos x\) दोनों ऋणात्मक होते हैं, पर \(\tan x\) धनात्मक होता है। इसलिए \(\sin x=-\frac{4}{5}\)। / In the third quadrant, both \(\sin x\) and \(\cos x\) are negative, while \(\tan x\) is positive. Hence \(\sin x=-\frac{4}{5}\).

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Question 11/50 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. \(-\frac{12}{13} \)

Explanation

Simple Explanation

द्वितीय चतुर्थांश में \(\cos x\) ऋणात्मक होता है। \(\sin^2 x+\cos^2 x=1\) से \(\cos x=-\frac{12}{13}\)। / In the second quadrant, \(\cos x\) is negative. From \(\sin^2 x+\cos^2 x=1\), \(\cos x=-\frac{12}{13}\).

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Question 12/50 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. \( \frac{\pi}{2} \)

Explanation

Simple Explanation

\(\cos ax\) का आवर्त \( \frac{2\pi}{|a|} \) होता है। इसलिए \(\cos 4x\) का आवर्त \( \frac{\pi}{2} \) है। / The period of \(\cos ax\) is \( \frac{2\pi}{|a|} \). Hence the period of \(\cos 4x\) is \( \frac{\pi}{2} \).

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