NCERT Solutions for Class 11 Maths Chapter 3 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions Miscellaneous Exercises are based on following concepts:

Angles
Trigonometric Functions
Trigonometric Functions of Sum and Difference of Two Angles
Trigonometric Equations

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Check out the solutions of Class 11 Maths NCERT solutions Chapter Chapter 3 Trigonometric Functions Miscellaneous Exercises

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Also check:

Class 11 Chapter 3 Important Topics
Side angle side formula	Domain and range of trigonometric functions	Degrees to Radians
Cosine Rule	Sin 180 Degrees	Law of Sines
Cosine Formula	Tan2x Formula	Sin2x Formula
Cos2x Formula	Sin squared x formula	2cosa cosb formula
Tangent 3 theta formula	Cos Square Theta formula	Cot tan formula
Cotangent formula	Degree and radian measure formula	Relation between degree and radian

Also check:

Class 11 Mathematics Important Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Which of the following equations is NOT a Linear Differential Equation?
- $(1 + x^2) \, dy + 2xy \, dx = \cot x \, dx$
- $y + \frac{d}{dx}(xy) = x(\sin x + \log x)$
- $x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0$
- $y \, dx - (x + 3y^2) \, dy = 0$
View Solution
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.
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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5.
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 :
6.
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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