NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.1

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Class 12 Maths NCERT Solutions Chapter 4 Determinants Exercise 4.1 is given in this article. Chapter 4 Determinants Exercise includes questions on determinant of a matrix, determinants of a matrix of order one, determinants of a matrix of order two, and determinants of a matrix of order 3 × 3.

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Class 12 Chapter 4 Determinants Topics:

Properties of Determinants	Area of a triangle	Minors and Cofactors
Non-singular matrix	Consistent and inconsistent system of equations	Determinant Formula
Elementary Matrix Operations	Applications of determinants and matrices	Consistent System of Linear Equations
Difference between rows and columns	Determinants and Matrices	Jacobian Method

CBSE Class 12 Mathematics Study Guides:

Algebra	Arithmetic	Trigonometry
Geometry	Calculus	Math Formula
Math MCQs	Mensuration	Math Study Notes
Permutation and Combination	Difference between in Maths	NCERT Solutions for Class 12 Maths

CBSE CLASS XII Related Questions

1.
Let $ A $ be a matrix of order $ m \times n $ and $ B $ be a matrix such that $ A^T B $ and $ B A^T $ are defined. Then, the order of $ B $ is:
View Solution
2.
If $f : \mathbb{N} \rightarrow \mathbb{W}$ is defined as \[ f(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases} \] then $f$ is :
- injective only
- surjective only
- a bijection
- neither surjective nor injective
View Solution
3.
The integrating factor of the differential equation $ \frac{dy}{dx} + y = \frac{1 + y}{x} $ is:
View Solution
4.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :
- $1<\lambda<\sqrt{2}$
- $\lambda \geq 1$
- $\lambda \geq \sqrt{2}$
- $\lambda<1$
View Solution
5.
Solve the following linear programming problem graphically: Maximise $ Z = x + 2y $ Subject to the constraints: \[ x - y \geq 0 \] \[ x - 2y \geq -2 \] \[ x \geq 0, \, y \geq 0 \]
View Solution
6.
Let the polished side of the mirror be along the line \[ \frac{x}{1} = \frac{1 - y}{2} = \frac{2z - 4}{6}. \] A point $ P(1, 6, 3) $, some distance away from the mirror, has its image formed behind the mirror. Find the coordinates of the image point and the distance between the point $ P $ and its image.
View Solution

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CBSE CLASS XII Previous Year Papers

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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

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Properties of Determinants: Explanation, Important Properties and Examples

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Symmetric and Skew Symmetric Matrices: Definition and Properties

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.1

CBSE CLASS XII Related Questions

1.
Let \( A \) be a matrix of order \( m \times n \) and \( B \) be a matrix such that \( A^T B \) and \( B A^T \) are defined. Then, the order of \( B \) is:

2.
If $f : \mathbb{N} \rightarrow \mathbb{W}$ is defined as \[ f(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases} \] then $f$ is :

3.
The integrating factor of the differential equation \( \frac{dy}{dx} + y = \frac{1 + y}{x} \) is:

4.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

5.
Solve the following linear programming problem graphically: Maximise \( Z = x + 2y \) Subject to the constraints: \[ x - y \geq 0 \] \[ x - 2y \geq -2 \] \[ x \geq 0, \, y \geq 0 \]

Similar Mathematics Concepts

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.1

CBSE CLASS XII Related Questions

1.Let \( A \) be a matrix of order \( m \times n \) and \( B \) be a matrix such that \( A^T B \) and \( B A^T \) are defined. Then, the order of \( B \) is:

2.If $f : \mathbb{N} \rightarrow \mathbb{W}$ is defined as \[ f(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases} \] then $f$ is :

3.The integrating factor of the differential equation \( \frac{dy}{dx} + y = \frac{1 + y}{x} \) is:

4.The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

5.Solve the following linear programming problem graphically: Maximise \( Z = x + 2y \) Subject to the constraints: \[ x - y \geq 0 \] \[ x - 2y \geq -2 \] \[ x \geq 0, \, y \geq 0 \]

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Let \( A \) be a matrix of order \( m \times n \) and \( B \) be a matrix such that \( A^T B \) and \( B A^T \) are defined. Then, the order of \( B \) is:

2.
If $f : \mathbb{N} \rightarrow \mathbb{W}$ is defined as \[ f(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases} \] then $f$ is :

3.
The integrating factor of the differential equation \( \frac{dy}{dx} + y = \frac{1 + y}{x} \) is:

4.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

5.
Solve the following linear programming problem graphically: Maximise \( Z = x + 2y \) Subject to the constraints: \[ x - y \geq 0 \] \[ x - 2y \geq -2 \] \[ x \geq 0, \, y \geq 0 \]