# RD Sharma Class 12 Solutions Chapter 6 Determinants Exercise 6.4 (Updated for 2021-22)

RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4: This exercise focuses on using determinants to solve a system of linear equations. It mostly comprises of a group of examples preceding the exercise problems to help students solve questions efficiently. It enhances students’ problem-solving abilities, which are essential for board exam success. Students can use the provided links to download exercise-wise RD Sharma Class 12 Solutions in PDF format to solve questions from the RD Sharma textbook. Here you will find RD Sharma Solutions for Class 12 Maths Chapter 6 Exercise 6.4.

## Download RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4 Free PDF

RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4

### Access answers to Maths RD Sharma Solutions For Chapter 6 – Determinants Ex 6.4 Class 12 Important Questions With Solution

Solve the following system of linear equations by Cramer’s rule:

1. x – 2y = 4

-3x + 5y = -7

Solution:

Given x – 2y = 4

-3x + 5y = -7

Let there be a system of n simultaneous linear equations and with n unknown given by

Solving determinant, expanding along 1st row

⇒ D = 5(1) – (– 3) (– 2)

⇒ D = 5 – 6

⇒ D = – 1

Again,

Solving determinant, expanding along 1st row

⇒ D1 = 5(4) – (– 7) (– 2)

⇒ D1 = 20 – 14

⇒ D1 = 6

And

Solving determinant, expanding along 1st row

⇒ D2 = 1(– 7) – (– 3) (4)

⇒ D2 = – 7 + 12

⇒ D2 = 5

Thus by Cramer’s Rule, we have

2. 2x – y = 1

7x – 2y = -7

Solution:

Chapter 6 Determinants Ex 6.4 Q3

Chapter 6 Determinants Ex 6.4 Q4

Chapter 6 Determinants Ex 6.4 Q5

Chapter 6 Determinants Ex 6.4 Q6

Chapter 6 Determinants Ex 6.4 Q7

Chapter 6 Determinants Ex 6.4 Q8

Chapter 6 Determinants Ex 6.4 Q9

Chapter 6 Determinants Ex 6.4 Q10

We have provided complete details of RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4. If you have any queries related to CBSE Class 12 Exam, feel free to ask us in the comment section below.

## FAQs on RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4

### What are the advantages of using RD Sharma Solutions for Chapter 6 Exercise 6.4 of Class 12 Maths?

Referring to RD Sharma Solutions for Class 12 Maths Chapter 6 Exercise 6.4 will provide students a good understanding of the type of questions that might be asked in the Class 12 board exam from the chapter.

### Where can I get RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4 Free PDF?

You can get RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4 Free PDF from the above article.

### How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4?

There are a total of 10 questions in RD Sharma Solutions for Class 12 Maths Chapter 6 Exercise 6.4.