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Important Questions for Class 12 Maths Chapter 4 - Determinants

JEE Mains & Advanced

CBSE class 12 maths chapter 4 Determinants is an essential chapter for all the students who are appearing this year for board exams. Maths class 12 chapter 4 important questions are provided here by analyzing the topics and concepts mentioned in this chapter. These determinant class 12 important questions cover short answer type questions, long answer type questions with deep understanding of properties of determinants which are crucial for exam point of view. You can practice class 12th maths determinants important questions on eSaral to score excellent scores in exams. eSaral’s expert faculty of maths have made available determinants class12 important questions in PDFs that can be downloaded for free on our website.

Maths class 12 chapter 4 important questions covers several concepts related to determinants that have been explained by experts of mathematics. Class 12th maths important questions cover fundamentals of determinants, its properties, minors and cofactors, adjoint and inverse of a matrix and some important theorems. You must practice important questions of class 12 maths chapter 4 determinants as these questions are designed to solve questions asked in board exams. You can also download the PDF of determinants important questions from the link provided on the eSaral website.

Important Topics & Sub-topics of Determinants Class 12 Maths 

Students who want to score full marks in chapter 4 determinants need to practice important questions and have an in-depth understanding of topics and sub-topics included in this chapter. You can easily comprehend all the concepts and properties mentioned in chapter 4 by going through the class 12th maths important questions. Here, our subject experts have provided all the topics and sub-topics of chapter 4 determinants in the table below. 

Topics

Sub-topics

Introduction

 

Determinant

  • Determinant of a matrix of order one

  • Determinant of a matrix of order two

  • Determinant of a matrix of order 3 × 3

Area of a Triangle

 

Minors and Cofactors

  • Definitions

Adjoint and Inverse of a Matrix

  • Adjoint of a matrix → Definition

Theorem

  • Theorem 1

  • Theorem 2

  • Theorem 3

  • Theorem 4

Applications of Determinants and Matrices

  • Solution of system of linear equations using inverse of a matrix

Class 12 Maths Chapter 4 Determinants Weightage

In mathematics chapter 4 Determinants is an essential topic to score full marks in board exams. You can achieve full marks in chapter 4 by understanding all the key concepts of determinants and solving important questions before appearing for examination. Here, our subject matter experts of eSaral have provided determinants class 12 important questions and also elaborated all the main topics and concepts properly so that you can prepare for class 12 board exams. 

To get the chapter-wise weightage for subject maths, you must check the official website of CBSE where they provide unit-wise and chapter-wise weightage for each chapter or you can ask your respected subject teachers for clear information of it as marks distribution and weightage of chapter vary every year. Chapter 4 determinant carries approximately 5 marks weightage in maths exam. We have provided this information by analyzing all previous year question papers. Thus, you must check the official website of CBSE for confirmation.

Class 12 maths chapter 4 Determinants has a total of 5 exercises and one miscellaneous exercise. These exercises have a total of 61 questions that students should practice for better understanding of concepts that will not only help you score good marks in board exams but also help you to prepare for jee and other competitive exams. You should also practice important questions just before the exams provided by the experts of eSaral. These important questions are available here in PDF format that you can download from the official website of eSaral. 

Tips to Solve Class 12 Maths Chapter 4 Determinants

As CBSE class 12 maths chapter 4 Determinants has some theorems, properties and definitions that can be comprehend by proper understanding of concepts. You can check here some helpful tips to solve questions and deep knowledge of concepts of class 12 maths chapter 4 that will help you to achieve excellent marks in board exams.

  1. Determinants are usually considered as basic concepts of maths with algebraic applications. You can solve linear equations questions by learning the concepts of determinants.

  2. By comprehending the terms, definitions, theorems, and properties of determinants, you can find the value of determinants of matrices. 

  3. You can make a time table for each topic that you find difficult to understand and practice the questions related to that topic accordingly. This will help you in board exams.

  4. In determinants class 12 important questions provided by experts of eSaral, you will get to solve questions related to some important concepts of determinants.

Benefits of Solving Class 12 Maths Chapter 4 Important Questions with Answers

Class 12 maths chapter 4 Determinants has some advanced concepts that need extra practice. By practicing determinants class 12 important questions on eSaral, you will be benefited in class 12th board exams. Here, our expert faculty have combined some benefits that you  can check below.

  1. By solving class 12th maths important questions, you will get to know your strengths and weaknesses. This helps you to plan your study and preparation according to that. 

  2. You can also be able to concentrate on the topics and concepts where you need extra effort to prepare for board exams by practicing determinant questions.

  3. This will give you a knowledge to analyze the nature and type of questions asked in board exams. 

  4. Continuous practice of maths class 12 chapter 4 important questions will help you to improve your problem solving skills to score good marks in exams.

Frequently Asked Questions

Answer 1. Consistent system - A system of equations is said to be consistent if its solution (one or more) exists.

Inconsistent system -  A system of equations is said to be inconsistent if its solution does not exist.

Answer 2. Minor of an element aij of a determinant is the determinant obtained by deleting its ith row and jth column in which element aij lies. Minor of an element aij is denoted by Mij.

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