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The RD Sharma class 12th exercise FBQ solution tops the list of NCERT solutions as per the opinion of students. Since CBSE schools require students to practice and master their NCERT book, they need to answer the given questions correctly and learn the concepts clearly. RD Sharma solutions Mathematics is a rather complex subject that can only be mastered with self-practice. Therefore, the RD Sharma class 12th exercise FBQ will be a good guide in your endeavor to score high in exams and ace the paper.

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- Chapter 5 - Determinants Ex 5.1
- Chapter 5 - Determinants Ex 5.2
- Chapter 5 - Determinants Ex 5.3
- Chapter 5 - Determinants Ex 5.4
- Chapter 5 - Determinants Ex 5.5
- Chapter 5 - Determinants Ex MCQ
- Chapter 5 - Determinants Ex VSA

Determinants exercise Fill in the blanks question 1

Determinants exercise Fill in the blanks question 2

So,

[Taking determinant both side]

So, here determinant of 3 skew symmetric matrix always be zero.

Determinants exercise Fill in the blanks question 3

So, is zero

So,

Determinants exercise Fill in the blanks question 4

Such that A = KB

And both are n order of singular matrix

Here

(Let's take both side determinate)

[A and B are matrix]

So,

Determinants exercise Fill in the blanks question 6

So, n = 2

So,

So, here 5 is just like k

is equal to 125.

Determinants exercise Fill in the blanks question 5

So,

So, should be in

Determinants exercise Fill in the blanks question 7

Here 3 is just like K. So,

So, here

Determinants exercise Fill in the blanks question 8

So,

........

And,

...........

From equation (1) and equation (2)

Determinants exercise Fill in the blanks question 9

Determinants exercise Fill in the blanks question 10

Any order of identity matrix is determinant of matrix be 1

Let I is matrix

Determinants exercise Fill in the blanks question 11

is constant. So,

Let’s put value of K in below, Formula,

So, here is our answer.

Determinants exercise Fill in the blanks question 12

So,

[Interchange column of a12]

Determinants exercise Fill in the blanks question 13

Determinants exercise Fill in the blanks question 14

Let’s find determinant of A

So,

Determinants exercise Fill in the blanks question 15

Because both are transpose of each other,

Here n = 3 because A is matrix,

Here,

Determinants exercise Fill in the blanks question 16

Determinants exercise Fill in the blanks question 17

..............(1)

Applying

[From equation (1)]

because according to the property of determinant, if any 2 columns are same then

Determinants exercise Fill in the blanks question 18

Here, clearly we can see that is skew symmetric and its diagonal are 0

So,

Determinants exercise Fill in the blanks question 19

Let and be a square matrix of order 3 and

Let’s transfer So,

Determinants exercise Fill in the blanks question 20

So, n = 3

Here,

So, now

Determinants exercise Fill in the blanks question 21

Here, we get answer is zero which is obtained by multiplying 2nd row with sin y and 3rd row with cosy.

So, Value of determinant depends on y.

Determinants exercise Fill in the blanks question 22

According to property of determinant, if two column has same value then determinant of matrix should be zero.

Determinants exercise Fill in the blanks question 23

Here, we clearly see that 1

So, f(x) = 0

So, here x = 0 and

Determinants exercise Fill in the blanks question 24

Let’s put in matrix

Let’s take in common

Determinants exercise Fill in the blanks question 25

So, here total number of elements of

So, total minors in A is 9

Determinants exercise Fill in the blanks question 26

Let put x = 2 and x = 7

So, 2 and 7 are other roots.

Determinants exercise Fill in the blanks question 27

Determinants exercise Fill in the blanks question 28

Here 3 is constant K. So,

Determinants exercise Fill in the blanks question 29

So, Let’s

Let’s perform differentiate

So a,b,c are in A.P

Determinants exercise Fill in the blanks question 30

Here, all rows are same

According to properties of determinants, if there are 2 or more rows are same then, value of determinants is zero.

So, Answer is zero.

Determinants exercise Fill in the blanks question 31

Let’s take of determinant

Let’s use property for C1

Property using for C2

Property using for C3

So, here we split in 8 parts.

So, k = 8

Determinants exercise Fill in the blanks question 32

Determinants exercise Fill in the blanks question 34

Here, both column has 0 value of each column

So, determinant value is zero.

Determinants exercise Fill in the blanks question 35

Let's apply

So, here two columns become same. So, determinant value becomes zero.

So, our answer is zero.

Determinants exercise Fill in the blanks question 36

Let’s take 4x

Determinants exercise Fill in the blanks question 37

So, n = 3

Here,

So,

Here, because both are transpose to each other

So,

Let’s take -1 common

Determinants exercise Fill in the blanks question 33

_{The class 12 RD Sharma chapter 5 exercise FBQ solution is highly trusted by students and teachers in the entire country. The answers provided in the RD Sharma class 12th exercise FBQ book are expert-created, making them accurate and easy to understand. You will also find some exceptional tips in the book that might not be taught in class.}

_{The class 12 RD Sharma chapter 5 exercise FBQ solution includes the chapter Determinants, which explores linear equations that need to be solved using determinants. The FBQ section is specifically essential because it contains questions from the entire chapter like symmetric matrix, skew-symmetric matrix, singular matrix, order of a matrix, minor, cofactor, and determinant value. Thus, there are 38 questions that students must answer. }

_{The RD Sharma class 12 solutions Determinants ex FBQ can be an excellent guide for students due to the following reasons:}

_{The RD Sharma Class 12 Chapter 5 Exercise FBQ solutions are trusted by thousands of students in India. }_{You might find common questions in your board paper if you practice the RD Sharma solutions thoroughly and diligently. }_{RD Sharma class 12 solutions Determinants ex FBQ has the latest and updated syllabus, which is created to correspond to the NCERT textbooks used by teachers. }_{Teachers will often use the RD Sharma class 12 solutions chapter 5 ex FBQ to give homework and test students' progress. This means using the RD Sharma solutions will help you to solve your homework no matter how difficult it is.}_{RD Sharma class 12 solutions Determinants ex FBQ can be used by students for self-practice. They can use these solutions to compare answers and mark themselves at home.}_{RD Sharma class 12th exercise FBQ Solutions can be downloaded from the Career360 website, for all subjects and classes.}_{RD Sharma class 12 solutions Determinants ex FBQ book can be downloaded free of cost from Career360. So you won't need to pay anything to access or download the pdf.}

**RD Sharma Chapter wise Solutions**

- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 22 - Algebra of Vectors
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

1. Where can I download the class 12 RD Sharma chapter 5 exercise FBQ solution?

Students will be able to download the RD Sharma solutions from the Career360 website. They are available for free.

2. Can I use RD Sharma class 12th exercise FBQ for JEE Mains preparations?

Yes, students can use RD Sharma class 12th exercise FBQ for their JEE mains preparations. The answers will help them test their knowledge and enhance their skills.

3. Does RD Sharma class 12 solutions chapter 5 ex FBQ has the latest syllabus?

RD Sharma class 12 solutions chapter 5 ex FBQ is regularly updated to correspond to the syllabus of NCERT Books. You can download the latest version of the pdf by entering your school year.

4. Can I use RD Sharma class 12 chapter 5 exercise FBQ for solving homework?

Teachers like to test students' progress by assigning homework from RD Sharma class 12 chapter 5 exercise FBQ. Therefore, you can use these solutions to solve your homework.

5. How can I use class 12 RD Sharma chapter 5 exercise FBQ solution for self-practice?

You can solve questions from your NCERT textbooks and compare answers with class 12 RD Sharma chapter 5 exercise FBQ solution to mark yourself.

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