NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Miscellaneous Exercise is given in this article with a step by step explanation of concepts. Chapter 4 Determinants Miscellaneous Exercise covers all the concepts of the order of determinants of a matrix, properties of determinants, area of a triangle, adjoint of a matrix, etc.

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Class 12 Maths Chapter 4 Determinants Topics:

Applications of determinants and matrices	Non-singular matrix	Difference between rows and columns
Non-singular matrix	Elementary Matrix Operations	Consistent System of Linear Equations
Jacobian Method	Minors and Cofactors	Inverse Laplace Transform

CBSE Class 12 Maths Study Guides:

Math MCQs	Math Study Notes	Math Formula
NCERT Solutions for Class 12 Maths	Difference between in Maths	Algebra
Probability and Statistics	Trigonometry	Geometry

CBSE CLASS XII Related Questions

1.
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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2.
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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3.
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

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

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5.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

6.
An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.
Based on the above information, answer the following questions :

NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

CBSE CLASS XII Related Questions

1.
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 \(A'\).

2.
Which of the following equations is NOT a Linear Differential Equation?

3.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

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

5.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

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NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

CBSE CLASS XII Related Questions

1.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 \(A'\).

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

3.A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

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

5.A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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 \(A'\).

2.
Which of the following equations is NOT a Linear Differential Equation?

3.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

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

5.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.