NCERT Solutions for Class 12 Chapter 9 Differential Equations Miscellaneous Exercises

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Miscellaneous Exercises are provided in the article. Class 12 Chapter 9 Differential Equations Exercises cover miscellaneous questions from the entire chapter.

The exercises are thus based on following concepts:

Introduction to Differential Equations
Basic Concepts of Differential Equation
General and Particular Solutions of a Differential Equation
Formation of a Differential Equation whose General Solution is given
Methods of Solving First Order, First Degree Differential Equations

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Miscellaneous Exercises

Also check other Exercise Solutions of Class 12 Maths Chapter 9 Differential Equations

Also Read:

Chapter 9 Differential Equations Important Topics
Differential Equations Applications	Difference between parametric and nonparametric	Partial Differential Equation
Ordinary differential equations	Differential Equations Formula	Differential Calculus
Partial Derivative	How to Solve Linear Differential Equation	Homogeneous Differential Equation

Also Read:

CBSE Class 12 Mathematics Study Guides
Algebra	Arithmetic	Calculus
Mensuration	Trigonometry	Geometry
Permutation and Combination	Math Study Notes	Math MCQs
NCERT Solutions for Class 12 Maths	Math Formula	Difference between in Maths

CBSE CLASS XII Related Questions

1.
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 $q$.
- $p = -\frac{2}{3}, \, q = \frac{5}{3}$
- $p = -\frac{8}{3}, \, q = \frac{20}{3}$
- $p = \frac{20}{3}, \, q = -\frac{8}{3}$
- $p = 0, \, q = 0$
View Solution
2.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]
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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:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at $x=0$, then find the value of $k$.
- $0$
- $-2$
- $-1$
- $2$
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5.
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 $.
View Solution
6.
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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