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.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

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2.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

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3.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

\( -6 \) unit/sec
\( 0 \) unit/sec
\( 18 \) unit/sec
\( 6 \) unit/sec

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4.
Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

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5.
Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

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6.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

\( \log \cos 2x + C \)
\( \sec^{2} 2x + C \)
\( e^{x}\tan x + C \)
\( e^{x}\cot x + C \)

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NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

CBSE CLASS XII Related Questions

1.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

2.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

3.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

4.
Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

5.
Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

6.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

Comments

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NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

CBSE CLASS XII Related Questions

1.If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

2.Evaluate :\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

3.The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

4.Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

5.Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

6.\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

2.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

3.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

4.
Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

5.
Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

6.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :