NCERT Solutions for Class 12 Maths Chapter 12 Exercise 12.1 Solutions

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Class 12 Maths NCERT Solutions Chapter 12 Linear Programming Exercise 12.1 is provided in the article. Class 12 Chapter 12 Linear Programming Exercises include questions on Mathematical formulation of the problem and Graphical method of solving linear programming problems.

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Chapter 12 Linear Programming Important Topics
Optimization	Class 12 Mathematics Chapter 12 Linear Programming	Graphical method linear programming

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Class 12 Mathematics Important Guides
Class 12 Mathematics Notes	Math MCQs	Trigonometry
Number Systems	Probability and Statistics	Arithmetic
Algebra	Difference Between Topics in Maths	Math Study Guides
Math Formula	NCERT Solutions for Class 12 Maths	Mensuration

CBSE CLASS XII Related Questions

1.
Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?

$f$ has a minimum value at $x = 0$
$f$ has no maximum value in $\mathbb{R}$
$f$ is continuous at $x = 0$
$f$ is differentiable at $x = 0$

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2.
A furniture workshop produces three types of furniture: chairs, tables, and beds each day. On a particular day, the total number of furniture pieces produced is 45. It was also found that the production of beds exceeds that of chairs by 8, while the total production of beds and chairs together is twice the production of tables. Determine the units produced of each type of furniture, using the matrix method.

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3.
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

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

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5.
The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
(i) The probability that she buys both the colouring book and the box of colours.
(ii) The probability that she buys a box of colours given she buys the colouring book.

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6.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

$1<\lambda<\sqrt{2}$
$\lambda \geq 1$
$\lambda \geq \sqrt{2}$
$\lambda<1$

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NCERT Solutions for Class 12 Maths Chapter 12 Exercise 12.1 Solutions

CBSE CLASS XII Related Questions

1.
Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?

3.
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 :

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

6.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

Similar Mathematics Concepts

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NCERT Solutions for Class 12 Maths Chapter 12 Exercise 12.1 Solutions

CBSE CLASS XII Related Questions

1.Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?

3.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 :

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

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

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?

3.
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 :

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

6.
The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :