Class 12 Maths – Full Course for Boards (AHSEC / CBSE)

About Course

Too much to remember in Biology? This course helps you understand and revise faster.

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📋 SECTION 1 — Course Description

Class 12 Maths is the subject that students fear most — and score highest in when they’re prepared. This course covers every chapter of the board syllabus with the kind of methodical depth that converts fear into marks.

Taught in English medium, this course is designed specifically for students following the AHSEC/CBSE curriculum and preparing for the AHSEC / CBSE Higher Secondary board examinations. Every lesson is recorded, available 24/7, and structured so that even a student starting from zero can build genuine competence by the end.

📦 SECTION 2 — What’s Included

What You Get With This Course
🎬 Video Lessons	60–80 recorded lessons, covering every chapter
⏱ Total Content	30–40 hours of structured teaching
📚 Curriculum	Full AHSEC/CBSE syllabus — Chapter by Chapter
🕐 Access	24/7 on-demand — watch at your own pace
📱 Devices	Mobile, tablet & desktop — including PWA app
🎓 Medium	English
💰 Price	₹799 ₹999 — Full Year Access

👨‍🏫 SECTION 3 — Instructor Bio

Dr. Bhaskar Bora is a physician, educator, and author based in Guwahati, Assam. He founded Aspire Academy with a single conviction: that every student in Assam deserves teaching that is clear, engaging, and genuinely effective — regardless of whether they are in a city school or a rural home.

Dr. Bora’s teaching approach draws on his medical training — building from first principles, explaining the “why” behind every concept, and never accepting the idea that a student is simply “not good at” a subject. He has guided hundreds of students across CBSE, SEBA, and AHSEC boards to confident board exam performances, and his courses reflect years of understanding exactly where students struggle and how to help them move past it.

Aspire Academy is guided by a distinguished Board of Advisors including civil servants, former Heads of Department from Cotton University, and senior government officials — a reflection of the academic seriousness that underpins everything taught here.

⭐ SECTION 4 — Testimonials

“My son was struggling with Mathematics and I wasn’t sure an online course could make a difference. Within a few weeks, he was explaining concepts to me. The teaching style here is very different from what he gets at school — much clearer.”

— Parent of Class 12 student, Guwahati [PLACEHOLDER — replace with real quote]

“I used to dread Mathematics completely. After joining this course, I actually started looking forward to the lessons. Dr. Bora explains everything in a way that makes sense, and if you watch all the videos, the exam doesn’t feel scary anymore.”

— Class 12 student, Assam

• Master Relations & Functions, Inverse Trigonometry, and Matrices & Determinants
• Solve Continuity, Differentiability, and Application of Derivatives problems confidently
• Apply Integration — both indefinite and definite — and Differential Equations correctly
• Solve Vector Algebra, 3D Geometry, and Linear Programming problems accurately
• Approach Probability at the Class 12 level with both theory and calculation fluency
• Score 80+ in the Class 12 Mathematics board examination with systematic preparation

Course Content

Class 12 Maths Video Lectures
The NCERT Class 12 Maths syllabus covers a wide range of topics in mathematics. Here is an overview of the syllabus: Unit 1: Relations and Functions - Types of relations and functions - Inverse trigonometric functions - Binary operations and compositions of functions Unit 2: Algebra - Matrices and determinants - Algebra of matrices - Determinants and their properties - Inverse of a matrix Unit 3: Calculus - Continuity and differentiability - Differentiation and its applications - Integrals and their applications Unit 4: Vectors and Three-Dimensional Geometry - Vectors and their properties - Scalar and vector products - Three-dimensional geometry Unit 5: Linear Programming - Introduction to linear programming - Mathematical formulation of linear programming problems - Graphical method of solving linear programming problems Unit 6: Probability - Conditional probability and independence - Random variables and probability distributions - Binomial distribution and its properties This syllabus is prescribed by the National Council of Educational Research and Training (NCERT) for Class 12 Mathematics. It is designed to provide a comprehensive understanding of various mathematical concepts and their applications.

Class 12_Chapter 1_Relation & function Hirok Lecture 1

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Class 12_Chapter 1_Relation & function Hirok Lecture 2

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Class 12_Chapter 1_Relation & function Hirok Lecture 3

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Class 12_Chapter 1_Relation & function Hirok Lecture 4

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Class 12 Chapter 1 Relation and function Hirok Lecture 5

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Class 12 Chapter 1 Relation and function Hirok Lecture 6

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Class 12 Chapter 1 Relation and function Hirok Lecture 7

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Class 12 Chapter 1 Relation and function Hirok Lecture 8

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Class 12 Chapter 1 Relation and function Hirok 9

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Class12 Maths Chp1 Relation and Function by Bikash sir

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 1

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 2

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 3

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 4

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 5

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 6

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 7

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Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 8 & 9

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Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 1

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Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 2

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Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 3

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Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 4

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Class 12 Maths Chp3 Matrics by Ashrita ma’am Part 1

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Class 12 Maths Chp3 Matrics,EX 3 1 & 3 2 by Ashrita ma’am Part 2

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Class 12 Maths Chp3 Matrics,Operations of Matrices by Ashrita ma’am Part 4

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Class 12 Maths Chp3 Matrics,Operations of Matrices by Ashrita ma’am Part 5

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Class 12 Maths Chp3 Matrics,Operations of Matrices by Ashrita ma’am Part 6

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Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 7

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Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 8

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Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 9

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Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 10

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Class 12 Maths Chp3 Matrics,Ex 3 3 by Ashrita ma’am Part 11

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Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 1

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Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 2

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Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 3

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Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 4

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Class 12 Maths Chp4 Determinants, ex 4 2 by Ashrita ma’am Part 5

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Class 12 Maths Chp4 Determinants, ex 4 2 by Ashrita ma’am Part 6

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Class 12 Maths Chp4 Determinants, ex 4 3 by Ashrita ma’am Part 7

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Class 12 Maths Chp4 Determinants, ex 4 4 by Ashrita ma’am Part 8

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Class 12 Maths Chp4 Determinants, ex 4 5 by Ashrita ma’am Part 9

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Chapter 5- Continuity & Differentiability (Part 1)

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Chapter 5- Continuity & Differentiability (Part 2)

30:24
Chapter 5- Continuity & Differentiability (Part 3)

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Chapter 5- Continuity & Differentiability (Part 4)

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Chapter 5- Continuity & Differentiability (Part 5)

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Chapter 5- Continuity & Differentiability (Part 6)

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Chapter 5- Continuity & Differentiability (Part 7)

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Chapter 5- Continuity & Differentiability (Part 8)

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Chapter 5- Continuity & Differentiability (Part 9)

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Chapter 5- Continuity & Differentiability (Part 10)

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Chapter 5- Continuity & Differentiability (Part 11)

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Chapter 5- Continuity & Differentiability (Part 12)

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Chapter 5- Continuity & Differentiability (Part 13)

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Chapter 6- Application of Derivatives (Part 1)

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Chapter 6- Application of Derivatives (Part 2)

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Chapter 6- Application of Derivatives (Part 3)

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Chapter 6- Application of Derivatives (Part 4)

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Chapter 6- Application of Derivatives (Part 5)

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Chapter 6- Application of Derivatives (Part 6)

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Chapter 6- Application of Derivatives (Part 7)

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Chapter 6- Application of Derivatives (Part 8)

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Chapter 7- Integration ( Part 1)

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Chapter 7- Integration ( Part 2)

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Chapter 7- Integration ( Part 3)

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Chapter 7- Integration ( Part 4)

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Chapter 7- Integration ( Part 5)

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Chapter 7- Integration ( Part 6)

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Chapter 7- Integration ( Part 7)

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Chapter 7- Integration ( Part 8)

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Chapter 7- Integration ( Part 9)

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Chapter 7- Integration ( Part 10)

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Chapter 8-Application of Integral (Part 1)

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Chapter 9- Differential Equations (Part 1)

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Chapter 10- Vector Algebra (Part 1)

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Chapter 10- Vector Algebra (Part 2)

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Chapter 10- Vector Algebra (Part 3)

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Chapter 10- Vector Algebra (Part 4)

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Chapter 10- Vector Algebra (Part 5)

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Chapter 10- Vector Algebra (Part 6)

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Chapter 10- Vector Algebra (Part 7)

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Chapter 10- Vector Algebra (Part 8)

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Chapter 10- Vector Algebra (Part 9)

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Chapter 10- Vector Algebra (Part 10)

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Chapter 10- Vector Algebra (Part 11)

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Chapter 10- Vector Algebra (Part 12)

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Exam Notes on NCERT Class 12 Maths Chapter on Relations and Functions
The NCERT Class 12 Maths chapter on Relations and Functions covers several key concepts: Relations Definition: A relation R from set A to B is a subset of the cartesian product A × B A×B. It relates elements of two or more non-empty sets. Types of Relations: Empty Relation: In set A, if no element is related to any element in A, i.e., R = ϕ ⊂ A × A R=ϕ⊂A×A. Universal Relation: In set A, if each element is related to every element in A, i.e., R = A × A R=A×A. Reflexive Relation: If ( a , a ) ∈ R (a,a)∈R for every a ∈ A a∈A. Symmetric Relation: If ( a 1 , a 2 ) ∈ R (a 1 ,a 2 )∈R implies ( a 2 , a 1 ) ∈ R (a 2 ,a 1 )∈R for all a 1 , a 2 ∈ A a 1 ,a 2 ∈A. Transitive Relation: If ( a 1 , a 2 ) ∈ R (a 1 ,a 2 )∈R and ( a 2 , a 3 ) ∈ R (a 2 ,a 3 )∈R implies ( a 1 , a 3 ) ∈ R (a 1 ,a 3 )∈R for all a 1 , a 2 , a 3 ∈ A a 1 ,a 2 ,a 3 ∈A. Equivalence Relation: A relation that is reflexive, symmetric, and transitive. Functions Definition: A function f from set A to B is a relation where every element of A has one and only one image in B. Types of Functions: One to One Function (Injective): If distinct elements of set X have distinct images in set Y. Onto Function (Surjective): If every element of Y is the image of some element of X under f. One-One and Onto Function (Bijective): If the function is both one-one and onto. Composition of Functions: If f: A → B and g: B → C, the composition g ∘ f g∘f is defined as ( g ∘ f ) ( x ) = g ( f ( x ) ) (g∘f)(x)=g(f(x)) for all x ∈ A x∈A. Invertible Functions: A function f: X → Y is invertible if there exists a function g: Y → X such that g ∘ f = I X g∘f=I X and f ∘ g = I Y f∘g=I Y . Here, g is the inverse of f, denoted by f − 1 f −1 . For a function to be invertible, it must be bijective. These concepts form the foundation of understanding how different elements within a set or between different sets are related and how functions act as a special kind of relation with specific properties. The understanding of relations and functions is crucial for further studies in mathematics, especially in calculus, algebra, and discrete mathematics.

Exam notes on NCERT Class 12 Chapter Inverse Trigonometric Functions
The NCERT Class 12 Mathematics chapter on Inverse Trigonometric Functions covers several critical concepts essential for understanding the inversion of trigonometric ratios and their applications, not only in board exams but also in competitive exams like JEE. Here's a detailed summary of the chapter: Concepts Covered Introduction to Inverse Trigonometric Functions: This section explains the concept of finding the inverse of trigonometric functions by restricting their domain and range to make them bijective. The inverse of a function f f is denoted as f − 1 f −1 . Domain and Range of Inverse Trigonometric Functions: Each inverse trigonometric function has a specific domain and range: Arcsine (sin^{-1}x): Domain: [ − 1 , 1 ] [−1,1], Range: [ − π 2 , π 2 ] [− 2 π , 2 π ]. Arccosine (cos^{-1}x): Domain: [ − 1 , 1 ] [−1,1], Range: [ 0 , π ] [0,π]. Arctangent (tan^{-1}x): Domain: All real numbers, Range: ( − π 2 , π 2 ) (− 2 π , 2 π ). Arccotangent (cot^{-1}x): Domain: All real numbers, Range: ( 0 , π ) (0,π). Arcsecant (sec^{-1}x): Domain: ( − ∞ , − 1 ] ∪ [ 1 , ∞ ) (−∞,−1]∪[1,∞), Range: [ 0 , π 2 ) ∪ ( π 2 , π ] [0, 2 π )∪( 2 π ,π]. Arccosecant (csc^{-1}x): Domain: ( − ∞ , − 1 ] ∪ [ 1 , ∞ ) (−∞,−1]∪[1,∞), Range: [ − π 2 , 0 ) ∪ ( 0 , π 2 ] [− 2 π ,0)∪(0, 2 π ]. Properties of Inverse Trigonometric Functions: This section covers various properties that are crucial for solving problems involving inverse trigonometric functions. These properties simplify complex expressions and solve equations involving inverse trigonometric functions. Additional Points Inverse trigonometric functions are not the reciprocals of trigonometric functions. For example, sin ⁡ − 1 x sin −1 x is not equal to 1 sin ⁡ x sinx 1 . Principal Value Branch: The value of an inverse trigonometric function lying in the range of the principal value branch is called its principal value. Equations involving inverse trigonometric functions: This section includes solving equations and finding the values of inverse trigonometric functions given certain conditions. Practice and Problem Solving The chapter includes various problems and exercises to help students apply the concepts of inverse trigonometric functions in different contexts. Practicing these problems is crucial for a thorough understanding and application of the concepts. In summary, this chapter provides comprehensive insights into the inverse of trigonometric functions, their domains and ranges, and properties, along with problem-solving techniques essential for mastering this area of mathematics.

About Course

📋 SECTION 1 — Course Description

📦 SECTION 2 — What’s Included

👨‍🏫 SECTION 3 — Instructor Bio

⭐ SECTION 4 — Testimonials

What Will You Learn?

Course Content

Class 12_Chapter 1_Relation & function Hirok Lecture 1

Class 12_Chapter 1_Relation & function Hirok Lecture 2

Class 12_Chapter 1_Relation & function Hirok Lecture 3

Class 12_Chapter 1_Relation & function Hirok Lecture 4

Class 12 Chapter 1 Relation and function Hirok Lecture 5

Class 12 Chapter 1 Relation and function Hirok Lecture 6

Class 12 Chapter 1 Relation and function Hirok Lecture 7

Class 12 Chapter 1 Relation and function Hirok Lecture 8

Class 12 Chapter 1 Relation and function Hirok 9

Class12 Maths Chp1 Relation and Function by Bikash sir

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 1

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 2

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 3

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 4

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 5

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 6

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 7

Class 12:Chapter 2 :Inverse trigonometric Function by Bhrigu Sir Lecture 8 & 9

Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 1

Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 2

Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 3

Class 12 Maths Chp2 Inverse Trigonometric Function by Sunmoni Sir Part 4

Class 12 Maths Chp3 Matrics by Ashrita ma’am Part 1

Class 12 Maths Chp3 Matrics,EX 3 1 & 3 2 by Ashrita ma’am Part 2

Class 12 Maths Chp3 Matrics,Operations of Matrices by Ashrita ma’am Part 4

Class 12 Maths Chp3 Matrics,Operations of Matrices by Ashrita ma’am Part 5

Class 12 Maths Chp3 Matrics,Operations of Matrices by Ashrita ma’am Part 6

Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 7

Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 8

Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 9

Class 12 Maths Chp3 Matrics,Ex 3 2 by Ashrita ma’am Part 10

Class 12 Maths Chp3 Matrics,Ex 3 3 by Ashrita ma’am Part 11

Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 1

Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 2

Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 3

Class 12 Maths Chp4 Determinants by Ashrita ma’am Part 4

Class 12 Maths Chp4 Determinants, ex 4 2 by Ashrita ma’am Part 5

Class 12 Maths Chp4 Determinants, ex 4 2 by Ashrita ma’am Part 6

Class 12 Maths Chp4 Determinants, ex 4 3 by Ashrita ma’am Part 7

Class 12 Maths Chp4 Determinants, ex 4 4 by Ashrita ma’am Part 8

Class 12 Maths Chp4 Determinants, ex 4 5 by Ashrita ma’am Part 9

Chapter 5- Continuity & Differentiability (Part 1)

Chapter 5- Continuity & Differentiability (Part 2)

Chapter 5- Continuity & Differentiability (Part 3)

Chapter 5- Continuity & Differentiability (Part 4)

Chapter 5- Continuity & Differentiability (Part 5)

Chapter 5- Continuity & Differentiability (Part 6)

Chapter 5- Continuity & Differentiability (Part 7)

Chapter 5- Continuity & Differentiability (Part 8)

Chapter 5- Continuity & Differentiability (Part 9)

Chapter 5- Continuity & Differentiability (Part 10)

Chapter 5- Continuity & Differentiability (Part 11)

Chapter 5- Continuity & Differentiability (Part 12)

Chapter 5- Continuity & Differentiability (Part 13)

Chapter 6- Application of Derivatives (Part 1)

Chapter 6- Application of Derivatives (Part 2)

Chapter 6- Application of Derivatives (Part 3)

Chapter 6- Application of Derivatives (Part 4)

Chapter 6- Application of Derivatives (Part 5)

Chapter 6- Application of Derivatives (Part 6)

Chapter 6- Application of Derivatives (Part 7)

Chapter 6- Application of Derivatives (Part 8)

Chapter 7- Integration ( Part 1)

Chapter 7- Integration ( Part 2)

Chapter 7- Integration ( Part 3)

Chapter 7- Integration ( Part 4)

Chapter 7- Integration ( Part 5)

Chapter 7- Integration ( Part 6)

Chapter 7- Integration ( Part 7)

Chapter 7- Integration ( Part 8)

Chapter 7- Integration ( Part 9)

Chapter 7- Integration ( Part 10)

Chapter 8-Application of Integral (Part 1)