NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3 is given in this article. The chapter carries a weightage of around 08 marks in CBSE Term 2 Exam 2022.

There are a total of four exercises in the NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions.
The exercise deals with functions and types of functions.

Download PDF of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3

CBSE CLASS XII Related Questions

1.
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
View Solution
2.
If $ xy = e^{x - y} $, then find $ \frac{dy}{dx} $.
View Solution
3.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]
View Solution
4.
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 :
5.
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
6.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]
View Solution

View All

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You can also check

Exercise 1.1 Solutions	16 Questions (14 Short Answers, 2 MCQ)
Exercise 1.2 Solutions	12 Questions (10 Short Answers, 2 MCQ)
Exercise 1.4 Solutions	13 Questions (12 Short Answers, 1 MCQ)
Miscellaneous Exercise Solutions	19 Questions (7 Long answers, 9 Short answer type, 3 MCQ)

Relations and Functions	Binary Operations	Ordered Pairs
Onto Function	Types of Relations	Modulus Function
Types of Functions	Reflexive Relation	Binary Addition

Trigonometry	Arithmetic	Calculus
Mensuration	Algebra	Math Formula

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3

Download PDF of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3

Other Exercise Solutions of Class 12 Maths Chapter 1 Relations and Functions

CBSE CLASS XII Related Questions

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

2.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

3.
Find:

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

5.
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 \(q\).

6.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

Similar Mathematics Concepts

Comments

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3

Download PDF of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.3

Other Exercise Solutions of Class 12 Maths Chapter 1 Relations and Functions

CBSE CLASS XII Related Questions

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

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

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

5. 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 \(q\).

6.Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

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

2.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

3.
Find:

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

5.
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 \(q\).

6.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]