NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.4

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.4 is covered in this article. This Chapter 1 Relations and Functions Exercise includes questions of binary operations - binary addition, binary subtraction, binary multiplication, and binary division. The questions also include checking whether the given functions are binary or not using commutative and associative properties.

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Class 12 Chapter 1 Relations and Functions Topics:

Types of Functions	Binary Operations	Difference Between Relation and Functions
Onto Function	Modulus Function	Signum Function
Composition of Functions and Invertible Function	Binary Multiplication	Binary Addition
Types of Relations	Absolute value formula	Reflexive Relation

CBSE Class 12 Mathematics Study Guides:

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

CBSE CLASS XII Related Questions

1.
The integrating factor of the differential equation $ \frac{dy}{dx} + y = \frac{1 + y}{x} $ is:
View Solution
2.
Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:
- $x^3 + 3x^2 + \frac{2}{x^2} + 5x + 11$
- $x^3 + 3x^2 + \frac{2}{x^2} + 5x - 11$
- $x^3 + 3x^2 - \frac{2}{x^2} + 5x - 11$
- $x^3 - 3x^2 - \frac{2}{x^2} + 5x - 11$
View Solution
3.
Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]
View Solution
4.
Solve the differential equation: \[ x^2y \, dx - (x^3 + y^3) \, dy = 0. \]
View Solution
5.
The diagonals of a parallelogram are given by $ \mathbf{a} = 2 \hat{i} - \hat{j} + \hat{k} $ and $ \mathbf{b} = \hat{i} + 3 \hat{j} - \hat{k}$ . Find the area of the parallelogram.
View Solution
6.
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

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Difference Between Relation and Function

Difference Between Codomain and Range

NCERT Solutions For Class 12 Mathematics Chapter 1 Relation and Functions

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CBSE CLASS XII Previous Year Papers

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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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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.4

CBSE CLASS XII Related Questions

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

2.
Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:

3.
Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]

4.
Solve the differential equation: \[ x^2y \, dx - (x^3 + y^3) \, dy = 0. \]

5.
The diagonals of a parallelogram are given by \( \mathbf{a} = 2 \hat{i} - \hat{j} + \hat{k} \) and \( \mathbf{b} = \hat{i} + 3 \hat{j} - \hat{k}\) . Find the area of the parallelogram.

6.
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 1 Relations and Functions Exercise 1.4

CBSE CLASS XII Related Questions

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

2.Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:

3. Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]

4.Solve the differential equation: \[ x^2y \, dx - (x^3 + y^3) \, dy = 0. \]

5.The diagonals of a parallelogram are given by \( \mathbf{a} = 2 \hat{i} - \hat{j} + \hat{k} \) and \( \mathbf{b} = \hat{i} + 3 \hat{j} - \hat{k}\) . Find the area of the parallelogram.

6.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.
The integrating factor of the differential equation \( \frac{dy}{dx} + y = \frac{1 + y}{x} \) is:

2.
Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:

3.
Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]

4.
Solve the differential equation: \[ x^2y \, dx - (x^3 + y^3) \, dy = 0. \]

5.
The diagonals of a parallelogram are given by \( \mathbf{a} = 2 \hat{i} - \hat{j} + \hat{k} \) and \( \mathbf{b} = \hat{i} + 3 \hat{j} - \hat{k}\) . Find the area of the parallelogram.

6.
Solve the following linear programming problem graphically: Maximise \( Z = x + 2y \) Subject to the constraints: \[ x - y \geq 0 \] \[ x - 2y \geq -2 \] \[ x \geq 0, \, y \geq 0 \]