NCERT Solutions for Class 12 Maths Chapter 1 Relations And Function Miscellaneous Exercise

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NCERT Solution for Class 12 Maths Chapter 1 relations and functions Miscellaneous Exercise is based upon the theories covered in the previous four exercises.

In class 12 maths NCERT Solutions for chapter 1 relations and functions miscellaneous exercise there are around 19 questions including objectives and descriptive questions.
Nearly 7, 9 and 3 questions from relations, functions and binary operations respectively are provided in the miscellaneous exercise.

Check NCERT Solution for Class 12 Maths Chapter 1 relations and functions Miscellaneous Exercise (PDF Link)

Check Class 12 NCERT Maths Chapter 1 Relations and Functions Exercises:

Read More:

Relation & Functions	Difference between Relations & Functions	Types of Relations
Types of Functions	Signum Function	Modulus Function

Class 12 Mathematics Guides:

Math Study Notes	Math Formula	Math MCQs
Difference between in Math	Algebra	Permutation and Combination

CBSE CLASS XII Related Questions

1.
For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.
Minimize \(Z = 5x + 7y\)
subject to constraints
\[ 2x + y \geq 8 \]
\[ x + 2y \geq 10 \]
\[ x,\ y \geq 0. \]

View Solution

2.
Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

View Solution

3.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

\( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
\( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
\( \frac{2\sqrt{\cos x}}{\sin x} \)
\( \frac{1}{\sin x\sqrt{\cos x}} \)

View Solution

4.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

View Solution

5.
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

View Solution

6.
For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

\(\frac{1}{2}\)
\(\frac{3}{5}\)
\(\frac{1}{5}\)
\(\frac{3}{10}\)

View Solution

NCERT Solutions for Class 12 Maths Chapter 1 Relations And Function Miscellaneous Exercise

Check NCERT Solution for Class 12 Maths Chapter 1 relations and functions Miscellaneous Exercise (PDF Link)

Check Class 12 NCERT Maths Chapter 1 Relations and Functions Exercises:

CBSE CLASS XII Related Questions

1.
For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.
Minimize \(Z = 5x + 7y\)
subject to constraints
\[ 2x + y \geq 8 \]
\[ x + 2y \geq 10 \]
\[ x,\ y \geq 0. \]

2.
Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

3.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

4.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

5.
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.
For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

Comments

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NCERT Solutions for Class 12 Maths Chapter 1 Relations And Function Miscellaneous Exercise

Check NCERT Solution for Class 12 Maths Chapter 1 relations and functions Miscellaneous Exercise (PDF Link)

Check Class 12 NCERT Maths Chapter 1 Relations and Functions Exercises:

CBSE CLASS XII Related Questions

1.For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.Minimize \(Z = 5x + 7y\)subject to constraints\[ 2x + y \geq 8 \]\[ x + 2y \geq 10 \]\[ x,\ y \geq 0. \]

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

3.Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

4.For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :Minimize \(Z = 18x + 10y\)subject to constraints\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

5.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.For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

Comments

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1.
For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.
Minimize \(Z = 5x + 7y\)
subject to constraints
\[ 2x + y \geq 8 \]
\[ x + 2y \geq 10 \]
\[ x,\ y \geq 0. \]

2.
Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

3.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

4.
For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :
Minimize \(Z = 18x + 10y\)
subject to constraints
\[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]

5.
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.
For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :