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 line passing through the points \(A(1,2,3)\) and \(B(6,8,11)\) intersects the line \[ \vec r = 4\hat i + \hat j + \lambda(6\hat i + 2\hat j + \hat k) \] Find the coordinates of the point of intersection. Hence write the equation of a line passing through the point of intersection and perpendicular to both the lines.
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2.
Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).
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3.
Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]
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4.
Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]
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5.
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 one such track is given as

(i) Find \(f'(x)\) for \(0<x>3\).
(ii) Find \(f'(4)\).
(iii)(a) Test for continuity of \(f(x)\) at \(x=3\).
OR
(iii)(b) Test for differentiability of \(f(x)\) at \(x=3\).
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6.
Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).
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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

2.
Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).

3.
Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]

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

6.
Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).

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

2.Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).

3.Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]

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

6.Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).

3.
Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]

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

6.
Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).