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To help the scholars in their preparations and improve their understanding of the concepts, we’ve prepared RS Aggarwal Class 12 Determinants Solutions PDF. The PDF contains easy explanations of all the questions asked within the textbook. By browsing the PDF, students will understand the way to frame answers correctly within the examination and score maximum marks within the examinations.

**Determinants**

A determinant may be a number or value which will only be calculated for square matrices. It also features application find if the system of equations has a unique solution or not. The properties of determinants discussed within the chapter are often applied to any matrix but during this chapter, only square matrices up to order 3 are discussed.The area of a triangle is often calculated using the determinants if the coordinates of its vertices are known. the equation in two or three variables having a singular solution is often calculated using the inverse of a matrix.

**Class 12 Maths Weightage Marks**

Class 12 Mathematics exam is for a complete of 80 marks and therefore the rest 20 marks are for the interior assessment. The time given for the examination is 3 hours. Students can download the solutions PDF which can help them to practice on the way to finish the exam in under 3 hours. the kinds of questions asked within the examination and their respective weightage are given below.

Section A – Very Short Answer Type Questions: 16 questions with 1 mark each

Section B – Objective Type Questions: 4 questions with 1 mark each

Section C – Short Answer Type I Questions: 10 questions with 2 marks each

Section D – Short Answer Type II Questions: 7 questions with 3 marks each

Section E – Long Answer Type Questions: 3 questions with 5 marks each

RS Aggarwal Solutions for Chapter 6 Determinants PDF will help students by clarifying any doubts from the chapter. The chapter is a component of the Algebra unit that features a weightage of 10 marks within the paper. Students can find an extended answer-type question from this unit so it’s advisable to organize this unit well. this is often a scoring chapter and students should use it to their advantage by scoring well on the questions from this chapter.

**The advantage of using RS Aggarwal Solutions Class 12 Determinants PDF are-**

- The solutions are written in a simple manner to maximize the retention of data.
- The answers written are as per the CBSE guidelines which can assist you in framing your answers better within the examination and score well.
- The focus of the PDF is on improving the concepts of every chapter by providing comprehensive explanations.
- The PDF will assist you in writing the solutions step-wise because the checking of papers is predicated upon step-marking.

**Q1:** What are the Subtopics that are Included within the Chapter – Determinants?

**Ans**: It gives us values and it can only be calculated for square matrices. The chapter tests the knowledge of matrices also therefore the concepts of the previous chapter must be very clear. The sub-topics extensively covered within the RS Aggarwal Class 12 Determinants Solutions PDF are

- Calculate Determinants of square matrices.
- Properties of Determinants can simplify the evaluation of matrices.
- Area of a triangle- Calculate the world of a triangle when the coordinates of its three vertices are given.
- Minors and Co-factors: Determinants also can be expanded using the minors and co-factors which have further application in several sorts of questions.
- Adjoint and inverse of a matrix.
- Solving system of linear equations in two or three variables having a singular solution using the properties of the inverse of a matrix.
- Application of Matrices and determinants.

**Q2:** What are the Properties of Determinants?

**Ans:** Properties of determinants help in evaluating the worth of the determinant. It simplifies the evaluation in order that a minimum amount of calculation must be done when solving determinants. The properties of determinants are as follows.

- Determinant evaluated across any row or column is the same.
- The determinant of an Identity matrix (In) is 1.

Chapter-3 Binary Operations Solutions

Chapter-4 Inverse Trigonometric Functions Solutions

Chapter-6 Determinants Solutions

Chapter-7 Adjoint and Inverse of a Matrix Solutions

Chapter-8 System of Linear Equations Solutions

Chapter-9 Continuity and Differentiability Solutions

Chapter-10 Differentiation Solutions

Chapter-11 Applications of Derivatives Solutions

Chapter-12 Indefinite Integral Solutions

Chapter-13 Method of Integration Solutions

Chapter-14 Some Special Integrals Solutions

Chapter-15 Integration Using Partial Fractions Solutions

Chapter-16 Definite Integrals Solutions

Chapter-17 Area of Bounded Regions Solutions

Chapter-18 Differential Equations and Their Formation Solutions

Chapter-19 Differential Equations with Variable Separable Solutions

Chapter-20 Homogeneous Differential Equations Solutions

Chapter-21 Linear Differential Equations Solutions

Chapter-22 Vectors and Their Properties Solutions

Chapter-23 Scalar, or Dot, Product of Vectors Solutions

Chapter-24 Cross, or Vector, Product of Vectors Solutions

Chapter-25 Product of Three Vectors Solutions

Chapter-26 Fundamental Concepts of 3-Dimensional Geometry Solutions

Chapter-27 Straight Line in Space Solutions

Chapter-28 The Plane Solutions

Chapter-29 Probability Solutions

Chapter-30 Bayes’s Theorem and its Applications Solutions

Chapter-31 Probability Distribution Solutions

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