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.
Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]
View Solution
2.
Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes.
The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:
3.
For two vectors \(\vec{a}\) and \(\vec{b}\):

Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]
- Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
4.
Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.
View Solution
5.
For a square matrix \(A\), \[ (3A)^{-1}= \]
- \( 3A^{-1} \)
- \( 9A^{-1} \)
- \( \frac{1}{3} A^{-1} \)
- \( \frac{1}{9} A^{-1} \)
View Solution
6.
If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]
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

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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.
Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]

3.
For two vectors \(\vec{a}\) and \(\vec{b}\):

Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

4.
Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.

5.
For a square matrix \(A\), \[ (3A)^{-1}= \]

6.
If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]

Similar Mathematics Concepts

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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. Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]

3.For two vectors \(\vec{a}\) and \(\vec{b}\): Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

4.Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.

5. For a square matrix \(A\), \[ (3A)^{-1}= \]

6. If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]

3.
For two vectors \(\vec{a}\) and \(\vec{b}\):

Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

4.
Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.

5.
For a square matrix \(A\), \[ (3A)^{-1}= \]

6.
If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]