NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.4

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.4 is provided in this article with a detailed explanation. Chapter 4 Determinants Exercise 4.4 covers concepts of writing the expansion of a determinant in a compact form by using minors and cofactors.

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Class 12 Chapter 4 Determinants Topics:

Determinant Formula	Determinants and Matrices	Applications of determinants and matrices
Properties of Determinants	Consistent System of Linear Equations	Elementary Matrix Operations
Difference between rows and columns	Area of a Triangle using determinant	Consistent and inconsistent system of equations
Inverse Laplace Transform	Non-singular matrix	Jacobian Method

CBSE Class 12 Mathematics Study Guides:

NCERT Solutions for Class 12 Maths	Math Study Notes	Difference between in Maths
Math Formula	Arithmetic	Math MCQs
Calculus	Trigonometry	Mensuration

CBSE CLASS XII Related Questions

1.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is
- Reflexive only
- Reflexive and Transitive
- Symmetric and Transitive
- Symmetric only
View Solution
2.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).
- \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
- \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
- \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
- \(p = 0, \, q = 0\)
View Solution
3.
Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).
View Solution
4.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).
View Solution
5.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]
View Solution
6.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).
- \(0\)
- \(-2\)
- \(-1\)
- \(2\)
View Solution

Similar Mathematics Concepts

Determinants: Types, Properties & Examples

Determinant of a Matrix: Definition, Calculation & Examples

Determinant: Formula, Properties and Applications

Consistent Systems of Linear Equations

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

Determinants And Matrices: Definition, Types, Properties

Cayley Hamilton Theorem: Statement, Theorem, Proof & Sample Questions

Important Questions for Class 12 Math Chapter 4 Determinants

NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.1

NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.3

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Matrices: Types, Properties, Formulas & Examples

Relations and Functions: Explanation, Types, and Representation

Types of Matrices: Row, Column, Zero, Symmetric, Skew Symmetric

Minors and Cofactors of Determinant: Definition, Formula and Solved Examples

Operations on Matrices: Addition, Subtraction, Multiplication and Solved Examples

Determinants: Types, Properties & Examples

Types of Relations: Definition, Classification and Examples

Properties of Determinants: Explanation, Important Properties and Examples

Plane: Equation of a Plane in Three-Dimensional Space

Invertible Matrices: Theorems, Properties and Examples

Symmetric and Skew Symmetric Matrices: Definition and Properties

Types of Functions: Elements, Equations, Range, and Domain

Introduction to Three-Dimensional Geometry: Distance, Important Formulae

Angle between Two Lines: Formula, Derivation & Calculation

Binary Operations: Types, Properties and Examples

Addition of Vectors: Definition, Formula, Laws and Properties

Types of Vectors: Definition, Properties & Examples

Definite Integral: Formula, Properties, Application & Examples

Integration by Partial Fractions: Formula, Steps & Examples

Angle Between a Line and a Plane: Formulas and Solved Examples

Mathematics NCERT Solutions

NCERT Solutions For Class 12 Mathematics Chapter 13: Probability

NCERT Solutions For Class 12 Mathematics Chapter 9: Differential Equations

NCERT Solutions For Class 12 Mathematics Chapter 7 Integrals

NCERT Solutions For Class 12 Mathematics Chapter 12: Linear Programming

NCERT Solutions for Class 12 Maths Chapter 3 Matrices

NCERT Solutions For Class 12 Mathematics Chapter 6 Applications of Derivatives

NCERT Solutions For Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

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