JEE-Main - Grade 12 - Mathematics - Continuity and Differentiability - Introduction and Snapshot of Continuity and Differentiability - Study ref# 911

Introduction
We had learnt to differentiate certain
functions like polynomial functions and trigonometric functions. In this
chapter, we introduce the very important concepts of continuity,
differentiability and relations between them. We... read more

JEE-Main - Grade 12 - Mathematics - Relations and Functions - Introduction and Snapshot of Relations and Functions - Study ref# 899

Introduction
The concept of the term ‘relation’ in
mathematics has been drawn from the meaning of relation in English language,
according to which two objects or quantities are related if there is a
recognizable connection or link between... read more

JEE-Main - Grade 12 - Mathematics - Relations and Functions - Introduction and Snapshot of Relations and Functions - Study ref# 900

Following sections must be covered to
understand the Relations and Functions:
1. Types of Relations
2. Types of Functions
3. Composition of Functions and
Invertible Function
4. Binary Operations... read more

JEE-Main - Grade 12 - Mathematics - Relations and Functions - Target Setup for Relations and Functions - Study ref# 901

Student requires to achieve the following milestones to get better grip over Relation and Function. The milestones / targets are as follows: Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter T... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Importance and Snapshot of Relations and Functions - Study ref# 605

Introduction:
Much of the mathematics is finding the pattern. In our
daily life, we come across patterns that characterizes relations such as
sister, brother, father, son. In mathematics also, we come across relations
such m number i... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Importance and Snapshot of Relations and Functions - Study ref# 606

Following sections must be covered to understand the
Relations and Functions:
1. Cartesians Products of Sets
2. Relations
3. Functions... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Target Setup for Relations and Functions - Study ref# 607

Student requires to achieve the following milestones to get better grip over Relations and Functions. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Study ref# 2396

Which of the following relations are functions? Give
reasons. If it is a function, determine its domain and range.
(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)}.
(ii){(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)}
(iii){(1,3),(1,5),(2,5)} A... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Study ref# 2397

Find the domain and range of the following real
functions:
(i) (ii) Answer: (i)
Here, f(x)≤0, ∀x∈
R
Domain = The set of all points where the function is defined R.
Range
= The set... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Study ref# 2398

Find the range of each of the following functions:
(i)f(x)=2-3x, x ∈R,
x>0
(ii) f(x)=x2 + 2 , x is a real number.
(iii)f(x)=x , x is a real number. Answer: (i) Let y= f(x)=2-3x
y=2-3x
3x=2-y ... read more