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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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.
Which of the following equations is NOT a Linear Differential Equation?

\((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
\(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
\(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
\(y \, dx - (x + 3y^2) \, dy = 0\)

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2.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

3.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

\(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
\(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
\(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
\(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)

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4.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

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5.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

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6.
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 \(q\).

\(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
\(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
\(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
\(p = 0, \, q = 0\)

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NCERT Solutions for Class 12 Maths Chapter 12 Exercise 12.1 Solutions

CBSE CLASS XII Related Questions

1.
Which of the following equations is NOT a Linear Differential Equation?

2.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

3.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

4.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

5.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

6.
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 \(q\).

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.Which of the following equations is NOT a Linear Differential Equation?

2.At a birthday party, children are being served orange juice in conical cups, as shown in the figure. Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.On the basis of the above information, answer the following questions :

3.Find:Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

4.Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

5.If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

6. 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 \(q\).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Which of the following equations is NOT a Linear Differential Equation?

2.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

3.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

4.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

5.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

6.
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 \(q\).