Our 1000+ multiple choice questions and answers (MCQs) on "Mathematics - Class 12" (along with 1000+ MCQs on "Mathematics - Class 11") focus on all areas of Mathematics covering 200+ topics. One can read MCQs on Mathematics Class - 11. These topics are chosen from a collection of the most authoritative and best reference books on Mathematics. One should spend 1 hour daily practicing these MCQs for 2-3 months to learn and assimilate the Mathematics subjects comprehensively. This way of systematic learning will prepare anyone easily for Mathematics - Class 12 exams, contests, online tests, quizzes, MCQ-tests, viva-voce, interviews, and certifications.
Mathematics - Class 12 Multiple Choice Questions Highlights
1000+ Multiple Choice Questions & Answers (MCQs) in Mathematics - Class 12 with a detailed explanation of every question.
These MCQs are organized chapterwise and each Chapter is further organized topicwise.
Every MCQ set focuses on a specific topic of a given Chapter in Mathematics - Class 12 Subject.
Class 12 Mathematics MCQ with answers in PDF format for all chapters based on the CBSE, ICSE, and NCERT Pattern.
Who should Practice Mathematics - Class 12 MCQs?
Students who are preparing for various school tests such as unit-tests, term-tests, semester tests, half-yearly and yearly tests, and examinations on Mathematics - Class 12.
Students who are preparing for Online/Offline Tests/Contests in Mathematics for class 12.
Students who wish to sharpen their knowledge of Mathematics.
Students who are studying in CBSE, ICSE, IGCSE schools as well as various State Board schools.
Students who are preparing for competitive examinations such as NTSE, Olympiad, etc for class 12.
Students who are preparing for Central board examinations in Mathematics namely CBSE, ICSE, and NIOS Board.
Students who are preparing for State board examinations in Mathematics such as PUC, Intermediate exams, etc.
Students who are preparing for engineering entrance examinations like IIT JEE, AIEEE & SAT Exams in Mathematics.
Mathematics - Class 12 Chapters
Here's the list of chapters on the "Mathematics - Class 12" subject covering 100+ topics.
Maths Class 12 MCQ Chapter 1: Relations and Functions
Maths Class 12 MCQ Chapter 2: Inverse Trigonometric Functions
Maths Class 12 MCQ Chapter 3: Matrices
Maths Class 12 MCQ Chapter 4: Determinants
Maths Class 12 MCQ Chapter 5: Continuity and Differentiability
Maths Class 12 MCQ Chapter 6: Application of Derivatives
Maths Class 12 MCQ Chapter 7: Integrals
Maths Class 12 MCQ Chapter 8: Application of Integrals
Maths Class 12 MCQ Chapter 9: Differential Equations
Maths Class 12 MCQ Chapter 10: Vector Algebra
Maths Class 12 MCQ Chapter 11: Three Dimensional Geometry
Maths Class 12 MCQ Chapter 12: Linear Programming
Maths Class 12 MCQ Chapter 13: Probability
Maths Class 12 MCQ Chapter 14: Application of Calculus
Explanation: (2,3) ? R as 2+3 = 5, 3>1, thus satisfying the given condition.
(4,2) doesn’t belong to R as 4+2 ? 5.
(2,1) doesn’t belong to R as 2+1 ? 5.
(5,0) doesn’t belong to R as 0?1
Explanation: For the above given set S = {3, 4, 6}, R = {(3, 4), (4, 6), (3, 6)} is transitive as (3,4)?R and (4,6) ?R and (3,6) also belongs to R . It is not a reflexive relation as it does not satisfy the condition (a,a)?R, for every a?A for a relation R in the set A.
Explanation: A relation in a set A is said to be symmetric if (a?, a?)?R implies that (a?, a?)?R,for every a?, a??R.
Hence, for the given set A={1, 2, 3}, R={(1, 2), (2, 1)} is symmetric. It is not reflexive since every element is not related to itself and neither transitive as it does not satisfy the condition that for a given relation R in a set A if (a?, a?)?R and (a?, a?)?R implies that (a?, a?)? R for every a?, a?, a??R.
Explanation: The given statement is true. A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive. Hence, an equivalence relation is always symmetric.
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