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.

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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.
Find the vector and cartesian equations of the line passing through the point of intersection of the lines $ \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) $ and $ \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) $ and parallel to the line $ \frac{x - 1}{-2} = \frac{7 - y}{-3} = z $.

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2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

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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.
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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5.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

$-\frac{\pi}{2}$
$-\frac{\pi}{4}$
$\frac{\pi}{4}$
$\frac{\pi}{2}$

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6.
If $ xy = e^{x - y} $, then find $ \frac{dy}{dx} $.

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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

2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

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

4.
Which of the following equations is NOT a Linear Differential Equation?

5.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

6.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

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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

2.Evaluate:\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

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

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

5. Find: The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

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

Comments

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2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

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

4.
Which of the following equations is NOT a Linear Differential Equation?

5.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

6.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).