, Highlights of Books
1. EQUATIONS V/S INEQUALITIES
In Algebra, inequality is a mathematical statement that shows
the relation between two expressions using the inequality
symbol. The expressions on both sides of an inequality sign are
Detailed Theory Supplemented not equal. It means that the expression on the left-hand side
relationship between two algebraic expressions is defined using
with Solved Examples. the inequality symbols, then it is called literal inequalities.
Examples:
(i) Write an inequality to describe the region represented on
each number line below.
Solution: The diagram indicates that the value of x must be
less than or equal to 3, which would be written as
x ≤ 3.
Check Your Concepts - 1
Solve following inequalities over the set of real numbers:
Concept Check Exercises for
(i)
practice of the covered concepts.
(ii)
(iii)
Integrated with QR Codes for
Video Lectures, Concept Quizzes.
Let's use the QR code in the textbooks! How?
1. Download SpeEdLabs App from the Google PlayStore/Apple App store
into your smartphone
2. Open the app with your login credentials
3. Open the QR code scanner at the top right corner.
4. Once the Scanner button in the application is clicked, camera opens
and then bring it closer to the QR codes in the text book.
, Board Corner JEE Corner
Features ‘Board Corner’ for Solved Examples Level - 1
School Exams & ‘JEE Cor- Very Short Answer Type Questions
Linear Inequality and Wavy Curve Method
ner’ for Competitions.
1. Solve the inequality and illustrate
1. For
the result on a number line.
(A) (B)
Sol: Begin with the inequality . (C) (D)
Adding 7 to both sides gives: 2. For , we always have
Dividing both sides by 6 gives: (A) (B)
This is represented on the number line below. (C) (D)
Level - 1
Concept Wise Questions
Complete Coverage: 3-Level
Level - 2 Practice for JEE (Main +
Single Correct Answer
Multiple Correct Answer
Advanced) & Boards.
Integer Type Questions
Assertion/Reason
Match the Column
Comprehension Type
Level - 3
JEE (Main) Problems
JEE (Advanced) / IIT-JEE Problems
JEE (Main) Problems
1. The product of all solutions of the equation
, is:
(A) (B)
(C) (D) e
Packed with Previous Years’ 2. Let and
JEE Main & Advanced . Then is equal to
Questions (PYQs). (A) 2 (B) 4
(C) 6 (D) 0
QR CORNER
PRACTICE
Interactive QR Codes for
Adaptive Practice and Online
TEST
Tests.
, Table
• Force on the Surface of a Charged 41
Conductor
• Energy Density of an Electric Field 41
• Electric Potential 41
of Content
• Electric Potential at a Point due to a 42
Point Charge
• Electric Potential due to a 43
CHAPTER 1: ELECTROSTATICS Continuous Charge Distribution
• Calculation of Electric Field From 46
• Electric Charge 2
Electric Potential
• Coulomb's Law 5
• Equipotential Surfaces 49
• Principle of Superposition 6
• Electric Potential Energy 49
• Force due to Continuous Charge 10
• Electric Dipole 53
Distribution
• Electric Field 12
• Electric Field of Continuous Charge 16 CHAPTER 2: CURRENT
Distributions ELECTRICITY
• Motion of a Charged Particle in a 24
• Electric Current 63
Uniform Electric Field
• Current Density 65
• Flux of an Electric Field or Electric 25
• Drift Velocity/Speed 66
Flux
• Electromotive Force and Voltage 68
• Gauss's Law 28
• Ohm’s Law 69
• Field due to an Infinite Line of 29
• Resistivity and Origin of Resistivity 70
Charge
• Origin of Resistivity 70
• Field due to an Infinite Plane Sheet 29
• Proof of Ohm's Law 71
of Charge
• Temperature Dependence of 72
• Electric Field due to a Uniformly 30
Resistivity
Charged Spherical Shell
• Temperature Dependence of 73
• Electric Field due to a Uniformly 31
Resistance
Charged Sphere
• Grouping of Resistances 74
• Conductors 35
• Emf of a Cell and Its Internal 78
• Cavity inside a Conductor 36
Resistance
• Electrostatic Shielding 37
• Grouping of Cells 79
• Earthing a Conductor 38
• Kirchhoff’s Laws 82
1. EQUATIONS V/S INEQUALITIES
In Algebra, inequality is a mathematical statement that shows
the relation between two expressions using the inequality
symbol. The expressions on both sides of an inequality sign are
Detailed Theory Supplemented not equal. It means that the expression on the left-hand side
relationship between two algebraic expressions is defined using
with Solved Examples. the inequality symbols, then it is called literal inequalities.
Examples:
(i) Write an inequality to describe the region represented on
each number line below.
Solution: The diagram indicates that the value of x must be
less than or equal to 3, which would be written as
x ≤ 3.
Check Your Concepts - 1
Solve following inequalities over the set of real numbers:
Concept Check Exercises for
(i)
practice of the covered concepts.
(ii)
(iii)
Integrated with QR Codes for
Video Lectures, Concept Quizzes.
Let's use the QR code in the textbooks! How?
1. Download SpeEdLabs App from the Google PlayStore/Apple App store
into your smartphone
2. Open the app with your login credentials
3. Open the QR code scanner at the top right corner.
4. Once the Scanner button in the application is clicked, camera opens
and then bring it closer to the QR codes in the text book.
, Board Corner JEE Corner
Features ‘Board Corner’ for Solved Examples Level - 1
School Exams & ‘JEE Cor- Very Short Answer Type Questions
Linear Inequality and Wavy Curve Method
ner’ for Competitions.
1. Solve the inequality and illustrate
1. For
the result on a number line.
(A) (B)
Sol: Begin with the inequality . (C) (D)
Adding 7 to both sides gives: 2. For , we always have
Dividing both sides by 6 gives: (A) (B)
This is represented on the number line below. (C) (D)
Level - 1
Concept Wise Questions
Complete Coverage: 3-Level
Level - 2 Practice for JEE (Main +
Single Correct Answer
Multiple Correct Answer
Advanced) & Boards.
Integer Type Questions
Assertion/Reason
Match the Column
Comprehension Type
Level - 3
JEE (Main) Problems
JEE (Advanced) / IIT-JEE Problems
JEE (Main) Problems
1. The product of all solutions of the equation
, is:
(A) (B)
(C) (D) e
Packed with Previous Years’ 2. Let and
JEE Main & Advanced . Then is equal to
Questions (PYQs). (A) 2 (B) 4
(C) 6 (D) 0
QR CORNER
PRACTICE
Interactive QR Codes for
Adaptive Practice and Online
TEST
Tests.
, Table
• Force on the Surface of a Charged 41
Conductor
• Energy Density of an Electric Field 41
• Electric Potential 41
of Content
• Electric Potential at a Point due to a 42
Point Charge
• Electric Potential due to a 43
CHAPTER 1: ELECTROSTATICS Continuous Charge Distribution
• Calculation of Electric Field From 46
• Electric Charge 2
Electric Potential
• Coulomb's Law 5
• Equipotential Surfaces 49
• Principle of Superposition 6
• Electric Potential Energy 49
• Force due to Continuous Charge 10
• Electric Dipole 53
Distribution
• Electric Field 12
• Electric Field of Continuous Charge 16 CHAPTER 2: CURRENT
Distributions ELECTRICITY
• Motion of a Charged Particle in a 24
• Electric Current 63
Uniform Electric Field
• Current Density 65
• Flux of an Electric Field or Electric 25
• Drift Velocity/Speed 66
Flux
• Electromotive Force and Voltage 68
• Gauss's Law 28
• Ohm’s Law 69
• Field due to an Infinite Line of 29
• Resistivity and Origin of Resistivity 70
Charge
• Origin of Resistivity 70
• Field due to an Infinite Plane Sheet 29
• Proof of Ohm's Law 71
of Charge
• Temperature Dependence of 72
• Electric Field due to a Uniformly 30
Resistivity
Charged Spherical Shell
• Temperature Dependence of 73
• Electric Field due to a Uniformly 31
Resistance
Charged Sphere
• Grouping of Resistances 74
• Conductors 35
• Emf of a Cell and Its Internal 78
• Cavity inside a Conductor 36
Resistance
• Electrostatic Shielding 37
• Grouping of Cells 79
• Earthing a Conductor 38
• Kirchhoff’s Laws 82
