Class 12 Mathematics Chapter 4: Determinants — Important Questions & Mock Tests

Practice Determinants topic-wise important questions, MCQs and 1, 2, 3 and 5 mark questions for CBSE revision.

300 Questions 55 Topics MCQs: 100 1 Mark: 50 2 Mark: 50 3 Mark: 50 5 Mark: 50

Topic-wise important and practice questions

Review question distribution across chapter topics for MCQs, 1 Mark questions, 2 Mark questions, 3 Mark questions, 5 Mark questions.

TopicMCQ1 Mark2 Mark3 Mark5 MarkTotal
Adjoint of a 2×2 Matrix 55000 10
Area of a Triangle Using Determinants 55000 10
Determinant of a 2×2 Matrix 55000 10
Determinant of the Adjoint 55000 10
Singular and Non-Singular Matrices 55000 10
Adjoint and Inverse of a 2×2 Matrix 00500 5
Adjoint and Inverse of a 3×3 Matrix 00050 5
Adjoint Identity A(adj A)=|A|I 00500 5
Area and Line Equation Using Determinants 00050 5
Area from a Coordinate Diagram Using Determinants 50000 5
Area of a Triangle with an Unknown Coordinate 00005 5
Assertion-Reason on Determinants and Invertibility 50000 5
Case-Based System of Equations Solved by Matrix Method 00050 5
Cofactor of an Element 50000 5
Cofactor Orthogonality Between Different Rows 50000 5
Collinearity from Zero Determinant 05000 5
Collinearity Using a Determinant 50000 5
Complete Three-Variable Matrix-Method Solution 00005 5
Comprehensive Determinant and Cofactor Analysis 00005 5
Comprehensive Visual Application of Determinants in Coordinate Geometry 00005 5
Condition for Existence of an Inverse 50000 5
Consistency and Number of Solutions of Linear Equations 50000 5
Consistency of a Three-Variable Linear System 00050 5
Consistency of a Two-Variable Linear System 00500 5
Consistency, Inconsistency and Number of Solutions 00005 5
Coordinate-Graph Area Calculation 00500 5
Determinant Equation in One Variable 50000 5
Determinant Equation Leading to a Quadratic 00500 5
Determinant Identities for Products, Inverses and Adjoint 00005 5
Determinant of a 3×3 Matrix 50000 5
Determinant of a Product 05000 5
Determinant of an Inverse Matrix 50000 5
Efficient Cofactor Expansion 50000 5
Equality of Row/Column Expansions of a Determinant 00050 5
Equation of a Line Using a Determinant 00500 5
Expansion of a 3×3 Determinant 00500 5
Finding an Inverse from a Matrix Polynomial Identity 00050 5
Full Adjoint and Inverse Calculation for a 3×3 Matrix 00005 5
Inverse by the Adjoint Formula 00500 5
Inverse of a 2×2 Matrix from Adjoint 05000 5
Inverse of a Product 50000 5
Invertibility Criterion and the Adjoint Formula 00005 5
Matrix Method for Two Linear Equations 00500 5
Minor and Cofactor of an Element 05000 5
Minor of an Element 50000 5
Minors and Cofactors of Selected Elements 00500 5
Obtaining the Inverse from a Matrix Equation 00005 5
Reading Coordinates and Setting Up the Area Determinant 05000 5
Real-Life Cost Problem Using the Inverse Matrix Method 00005 5
Scaling Property of Determinants 50000 5
Selected Minors and Cofactors of a 3×3 Determinant 00050 5
Solving Three Linear Equations by Matrix Method 00050 5
Solving Two Linear Equations by Matrix Method 50000 5
Verification of the Fundamental Adjoint Identity 00050 5
Visual Coordinate Geometry with Determinants 00050 5